diff --git a/src/libraries/System.Private.Uri/src/System/Uri.cs b/src/libraries/System.Private.Uri/src/System/Uri.cs
index e8d936349be31f..88f9df2992f551 100644
--- a/src/libraries/System.Private.Uri/src/System/Uri.cs
+++ b/src/libraries/System.Private.Uri/src/System/Uri.cs
@@ -149,7 +149,6 @@ private class MoreInfo
             public string? Query;
             public string? Fragment;
             public string? AbsoluteUri;
-            public int Hash;
             public string? RemoteUrl;
         };
 
@@ -1505,39 +1504,26 @@ public static int FromHex(char digit) =>
             (uint)(digit - 'a') <= 'f' - 'a' ? digit - 'a' + 10 :
             throw new ArgumentException(nameof(digit));
 
-        //
-        // GetHashCode
-        //
-        //  Overrides default function (in Object class)
-        //
-        //
         public override int GetHashCode()
         {
             if (IsNotAbsoluteUri)
             {
-                return CalculateCaseInsensitiveHashCode(OriginalString);
-            }
-
-            // Consider moving hash code storage from m_Info.MoreInfo to m_Info
-            UriInfo info = EnsureUriInfo();
-            if ((object?)info.MoreInfo == null)
-            {
-                info.MoreInfo = new MoreInfo();
+                return OriginalString.GetHashCode();
             }
-            int tempHash = info.MoreInfo.Hash;
-            if (tempHash == 0)
+            else
             {
-                string? chkString = info.MoreInfo.RemoteUrl;
-                if ((object?)chkString == null)
-                    chkString = GetParts(UriComponents.HttpRequestUrl, UriFormat.SafeUnescaped);
-                tempHash = CalculateCaseInsensitiveHashCode(chkString);
-                if (tempHash == 0)
+                MoreInfo moreInfo = EnsureUriInfo().MoreInfo ??= new MoreInfo();
+                string remoteUrl = moreInfo.RemoteUrl ??= GetParts(UriComponents.HttpRequestUrl, UriFormat.SafeUnescaped);
+
+                if (IsUncOrDosPath)
+                {
+                    return remoteUrl.GetHashCode(StringComparison.OrdinalIgnoreCase);
+                }
+                else
                 {
-                    tempHash = 0x1000000;   //making it not zero still large enough to be mapped to zero by a hashtable
+                    return remoteUrl.GetHashCode();
                 }
-                info.MoreInfo.Hash = tempHash;
             }
-            return tempHash;
         }
 
         //
@@ -4943,11 +4929,6 @@ private static char[] Compress(char[] dest, ushort start, ref int destLength, Ur
             return dest;
         }
 
-        internal static int CalculateCaseInsensitiveHashCode(string text)
-        {
-            return text.ToLowerInvariant().GetHashCode();
-        }
-
         //
         // CombineUri
         //
diff --git a/src/libraries/System.Runtime/tests/System/Uri.MethodsTests.cs b/src/libraries/System.Runtime/tests/System/Uri.MethodsTests.cs
index 633baab3ae544b..64efed81d4d69c 100644
--- a/src/libraries/System.Runtime/tests/System/Uri.MethodsTests.cs
+++ b/src/libraries/System.Runtime/tests/System/Uri.MethodsTests.cs
@@ -389,15 +389,17 @@ public static IEnumerable<object[]> Equals_TestData()
         public void Equals(Uri uri1, object obj, bool expected)
         {
             Uri uri2 = obj as Uri;
+
             if (uri1 != null)
             {
                 Assert.Equal(expected, uri1.Equals(obj));
-                if (uri2 != null)
+
+                if (uri2 != null && expected)
                 {
-                    bool onlyCaseDifference = string.Equals(uri1.OriginalString, uri2.OriginalString, StringComparison.OrdinalIgnoreCase);
-                    Assert.Equal(expected || onlyCaseDifference, uri1.GetHashCode().Equals(uri2.GetHashCode()));
+                    Assert.Equal(uri1.GetHashCode(), uri2.GetHashCode());
                 }
             }
+
             if (!(obj is string))
             {
                 Assert.Equal(expected, uri1 == uri2);