diff --git a/lib/eof_test.go b/lib/eof_test.go
new file mode 100644
index 0000000000..b3810f1c87
--- /dev/null
+++ b/lib/eof_test.go
@@ -0,0 +1,38 @@
+package lib
+
+import (
+	"fmt"
+	"io"
+	"testing"
+
+	"github.com/hashicorp/yamux"
+	"github.com/stretchr/testify/require"
+)
+
+func TestErrIsEOF(t *testing.T) {
+	t.Parallel()
+
+	var tests = []struct {
+		name string
+		err  error
+	}{
+		{name: "EOF", err: io.EOF},
+		{name: "yamuxStreamClosed", err: yamux.ErrStreamClosed},
+		{name: "yamuxSessionShutdown", err: yamux.ErrSessionShutdown},
+	}
+
+	for _, tt := range tests {
+		t.Run(tt.name, func(t *testing.T) {
+			t.Parallel()
+			require.True(t, IsErrEOF(tt.err))
+		})
+		t.Run(fmt.Sprintf("Wrapped %s", tt.name), func(t *testing.T) {
+			t.Parallel()
+			require.True(t, IsErrEOF(fmt.Errorf("test: %w", tt.err)))
+		})
+		t.Run(fmt.Sprintf("String suffix is %s", tt.name), func(t *testing.T) {
+			t.Parallel()
+			require.True(t, IsErrEOF(fmt.Errorf("rpc error: %s", tt.err.Error())))
+		})
+	}
+}