diff --git a/src/uu/tee/Cargo.toml b/src/uu/tee/Cargo.toml
index 99a6ec23e..51bba2e45 100644
--- a/src/uu/tee/Cargo.toml
+++ b/src/uu/tee/Cargo.toml
@@ -17,6 +17,7 @@ path = "src/tee.rs"
 [dependencies]
 clap = "2.33.3"
 libc = "0.2.42"
+retain_mut = "0.1.2"
 uucore = { version=">=0.0.7", package="uucore", path="../../uucore", features=["libc"] }
 uucore_procs = { version=">=0.0.5", package="uucore_procs", path="../../uucore_procs" }
 
diff --git a/src/uu/tee/src/tee.rs b/src/uu/tee/src/tee.rs
index c54fa0d16..4b0f19038 100644
--- a/src/uu/tee/src/tee.rs
+++ b/src/uu/tee/src/tee.rs
@@ -12,6 +12,7 @@ use clap::{App, Arg};
 use std::fs::OpenOptions;
 use std::io::{copy, sink, stdin, stdout, Error, ErrorKind, Read, Result, Write};
 use std::path::{Path, PathBuf};
+use retain_mut::RetainMut;
 
 #[cfg(unix)]
 use uucore::libc;
@@ -93,18 +94,33 @@ fn tee(options: Options) -> Result<()> {
     if options.ignore_interrupts {
         ignore_interrupts()?
     }
-    let mut writers: Vec<Box<dyn Write>> = options
+    let mut writers: Vec<NamedWriter> = options
         .files
         .clone()
         .into_iter()
-        .map(|file| open(file, options.append))
+        .map(|file|
+            NamedWriter {
+                name: file.clone(),
+                inner: open(file, options.append),
+            }
+        )
         .collect();
-    writers.push(Box::new(stdout()));
-    let output = &mut MultiWriter { writers };
+
+
+    writers.insert(0, NamedWriter {
+        name: "'standard output'".to_owned(),
+        inner: Box::new(stdout()),
+    });
+
+    let mut output = MultiWriter::new(writers);
     let input = &mut NamedReader {
         inner: Box::new(stdin()) as Box<dyn Read>,
     };
-    if copy(input, output).is_err() || output.flush().is_err() {
+
+    // TODO: replaced generic 'copy' call to be able to stop copying
+    // if all outputs are closed (due to errors)
+    if copy(input, &mut output).is_err() || output.flush().is_err() ||
+            output.error_occured() {
         Err(Error::new(ErrorKind::Other, ""))
     } else {
         Ok(())
@@ -112,7 +128,7 @@ fn tee(options: Options) -> Result<()> {
 }
 
 fn open(name: String, append: bool) -> Box<dyn Write> {
-    let path = PathBuf::from(name);
+    let path = PathBuf::from(name.clone());
     let inner: Box<dyn Write> = {
         let mut options = OpenOptions::new();
         let mode = if append {
@@ -125,55 +141,68 @@ fn open(name: String, append: bool) -> Box<dyn Write> {
             Err(_) => Box::new(sink()),
         }
     };
-    Box::new(NamedWriter { inner, path }) as Box<dyn Write>
+    Box::new(NamedWriter { inner, name }) as Box<dyn Write>
 }
 
 struct MultiWriter {
-    writers: Vec<Box<dyn Write>>,
+    writers: Vec<NamedWriter>,
+    initial_len: usize,
+}
+
+impl MultiWriter {
+    fn new (writers: Vec<NamedWriter>) -> Self {
+        Self {
+            initial_len: writers.len(),
+            writers,
+        }
+    }
+    fn error_occured(&self) -> bool {
+        self.writers.len() != self.initial_len
+    }
 }
 
 impl Write for MultiWriter {
     fn write(&mut self, buf: &[u8]) -> Result<usize> {
-        for writer in &mut self.writers {
-            writer.write_all(buf)?;
-        }
+        self.writers.retain_mut(|writer| {
+            let result = writer.write_all(buf);
+            match result {
+                Err(f) => {
+                    show_info!("{}: {}", writer.name, f.to_string());
+                    false
+                }
+                _ => true
+            }
+        });
         Ok(buf.len())
     }
 
     fn flush(&mut self) -> Result<()> {
-        for writer in &mut self.writers {
-            writer.flush()?;
-        }
+        self.writers.retain_mut(|writer| {
+            let result = writer.flush();
+            match result {
+                Err(f) => {
+                    show_info!("{}: {}", writer.name, f.to_string());
+                    false
+                }
+                _ => true
+            }
+        });
         Ok(())
     }
 }
 
 struct NamedWriter {
     inner: Box<dyn Write>,
-    path: PathBuf,
+    pub name: String,
 }
 
 impl Write for NamedWriter {
     fn write(&mut self, buf: &[u8]) -> Result<usize> {
-        match self.inner.write(buf) {
-            Err(f) => {
-                self.inner = Box::new(sink()) as Box<dyn Write>;
-                show_warning!("{}: {}", self.path.display(), f.to_string());
-                Err(f)
-            }
-            okay => okay,
-        }
+        self.inner.write(buf)
     }
 
     fn flush(&mut self) -> Result<()> {
-        match self.inner.flush() {
-            Err(f) => {
-                self.inner = Box::new(sink()) as Box<dyn Write>;
-                show_warning!("{}: {}", self.path.display(), f.to_string());
-                Err(f)
-            }
-            okay => okay,
-        }
+        self.inner.flush()
     }
 }
 
@@ -185,7 +214,7 @@ impl Read for NamedReader {
     fn read(&mut self, buf: &mut [u8]) -> Result<usize> {
         match self.inner.read(buf) {
             Err(f) => {
-                show_warning!("{}: {}", Path::new("stdin").display(), f.to_string());
+                show_info!("{}: {}", Path::new("stdin").display(), f.to_string());
                 Err(f)
             }
             okay => okay,
diff --git a/tests/by-util/test_tee.rs b/tests/by-util/test_tee.rs
index 5819b3044..f01677ae7 100644
--- a/tests/by-util/test_tee.rs
+++ b/tests/by-util/test_tee.rs
@@ -60,28 +60,31 @@ fn test_tee_append() {
 
 #[test]
 #[cfg(target_os = "linux")]
-fn test_tee_no_more_writeable_stdout() {
-    let (_at, mut ucmd) = at_and_ucmd!();
+fn test_tee_no_more_writeable_1() {
+    // equals to 'tee /dev/full out2 <multi_read' call
+    let (at, mut ucmd) = at_and_ucmd!();
     let content = (1..=10)
         .map(|x| format!("{}\n", x.to_string()))
         .collect::<String>();
     let file_out = "tee_file_out";
 
-    let _result = ucmd
+    let result = ucmd
         .arg("/dev/full")
         .arg(file_out)
         .pipe_in(&content[..])
         .fails();
 
-    // TODO: comment in after https://github.com/uutils/coreutils/issues/1805 is fixed
-    // assert_eq!(at.read(file_out), content);
-    // assert!(result.stdout.contains(&content));
-    // assert!(result.stderr.contains("No space left on device"));
+    assert_eq!(at.read(file_out), content);
+    assert!(result.stdout.contains(&content));
+    assert!(result.stderr.contains("No space left on device"));
 }
 
 #[test]
 #[cfg(target_os = "linux")]
-fn test_tee_no_more_writeable_stdin() {
+fn test_tee_no_more_writeable_2() {
+    // should be equals to 'tee out1 out2 >/dev/full <multi_read' call
+    // but currently there is no way to redirect stdout to /dev/full
+    // so this test is disabled
     let (_at, mut ucmd) = at_and_ucmd!();
     let _content = (1..=10)
         .map(|x| format!("{}\n", x.to_string()))