diff --git a/unmarshal.go b/unmarshal.go
index 63b4b1d..ffcc611 100644
--- a/unmarshal.go
+++ b/unmarshal.go
@@ -110,6 +110,11 @@ func (p *Decoder) unmarshal(pval cfValue, val reflect.Value) {
 
 	incompatibleTypeError := &incompatibleDecodeTypeError{val.Type(), pval.typeName()}
 
+	if receiver, can := implementsInterface(val, plistUnmarshalerType); can {
+		p.unmarshalPlistInterface(pval, receiver.(Unmarshaler))
+		return
+	}
+
 	// time.Time implements TextMarshaler, but we need to parse it as RFC3339
 	if date, ok := pval.(cfDate); ok {
 		if val.Type() == timeType {
@@ -119,11 +124,6 @@ func (p *Decoder) unmarshal(pval cfValue, val reflect.Value) {
 		panic(incompatibleTypeError)
 	}
 
-	if receiver, can := implementsInterface(val, plistUnmarshalerType); can {
-		p.unmarshalPlistInterface(pval, receiver.(Unmarshaler))
-		return
-	}
-
 	if val.Type() != timeType {
 		if receiver, can := implementsInterface(val, textUnmarshalerType); can {
 			if str, ok := pval.(cfString); ok {
diff --git a/unmarshal_test.go b/unmarshal_test.go
index c673793..0535232 100644
--- a/unmarshal_test.go
+++ b/unmarshal_test.go
@@ -40,3 +40,20 @@ func BenchmarkLargeArrayUnmarshal(b *testing.B) {
 		d.unmarshal(pval, reflect.ValueOf(&xval))
 	}
 }
+
+type CustomDate struct{}
+
+func (cd *CustomDate) UnmarshalPlist(unmarshal func(interface{}) error) error { return nil }
+
+func TestCustomDateUnmarshal(t *testing.T) {
+	input := `<?xml version="1.0" encoding="UTF-8"?>
+<!DOCTYPE plist PUBLIC "-//Apple//DTD PLIST 1.0//EN" "http://www.apple.com/DTDs/PropertyList-1.0.dtd">
+<plist version="1.0">
+    <date>2003-02-03T09:00:00.00Z</date>
+</plist>`
+
+	var custom CustomDate
+	if _, err := Unmarshal([]byte(input), &custom); err != nil {
+		t.Error(err)
+	}
+}