diff --git a/src/libraries/System.IO/tests/StreamReader/StreamReaderTests.cs b/src/libraries/System.IO/tests/StreamReader/StreamReaderTests.cs
index 0180c9364b8c79..b4a32a21ca4c2e 100644
--- a/src/libraries/System.IO/tests/StreamReader/StreamReaderTests.cs
+++ b/src/libraries/System.IO/tests/StreamReader/StreamReaderTests.cs
@@ -174,6 +174,46 @@ public void TestPeek()
             }
         }
 
+        [Fact]
+        public void TestPeekReadOneByteAtATime()
+        {
+            byte[] testData = new byte[] { 72, 69, 76, 76, 79 };
+            using var ms = new MemoryStream(testData);
+
+            // DelegateStream to read one at a time.
+            using var stream = new DelegateStream(
+                positionGetFunc: () => ms.Position,
+                lengthFunc: () => ms.Length,
+                canReadFunc: () => true,
+                readFunc: (buffer, offset, count) =>
+                {
+                    if (count == 0 || ms.Position == ms.Length)
+                    {
+                        return 0;
+                    }
+
+                    ms.ReadExactly(buffer, offset, 1);
+                    return 1;
+                });
+
+            using var sr = new StreamReader(stream);
+
+            for (int i = 0; i < testData.Length; i++)
+            {
+                Assert.Equal(i, stream.Position);
+
+                int tmp = sr.Peek();
+                Assert.Equal(testData[i], tmp);
+
+                tmp = sr.Read(); 
+                Assert.Equal(testData[i], tmp);
+            }
+
+            Assert.Equal(stream.Position, stream.Length);
+            Assert.Equal(-1, sr.Peek());
+            Assert.Equal(-1, sr.Read());
+        }
+
         [Fact]
         public void ArgumentNullOnNullArray()
         {
diff --git a/src/libraries/System.Private.CoreLib/src/System/IO/StreamReader.cs b/src/libraries/System.Private.CoreLib/src/System/IO/StreamReader.cs
index a7e5befbb4c25d..9884c4f880bc0a 100644
--- a/src/libraries/System.Private.CoreLib/src/System/IO/StreamReader.cs
+++ b/src/libraries/System.Private.CoreLib/src/System/IO/StreamReader.cs
@@ -320,7 +320,7 @@ public override int Peek()
 
             if (_charPos == _charLen)
             {
-                if (_isBlocked || ReadBuffer() == 0)
+                if (ReadBuffer() == 0)
                 {
                     return -1;
                 }