diff --git a/datafusion/core/src/catalog_common/information_schema.rs b/datafusion/core/src/catalog_common/information_schema.rs
index 1d4a3c15f7ca..604209e7ab29 100644
--- a/datafusion/core/src/catalog_common/information_schema.rs
+++ b/datafusion/core/src/catalog_common/information_schema.rs
@@ -406,6 +406,7 @@ fn get_udf_args_and_return_types(
             .into_iter()
             .map(|arg_types| {
                 // only handle the function which implemented [`ScalarUDFImpl::return_type`] method
+                #[allow(deprecated)]
                 let return_type = udf.return_type(&arg_types).ok().map(|t| t.to_string());
                 let arg_types = arg_types
                     .into_iter()
diff --git a/datafusion/expr/src/udf.rs b/datafusion/expr/src/udf.rs
index 809c78f30eff..5cc0321b7493 100644
--- a/datafusion/expr/src/udf.rs
+++ b/datafusion/expr/src/udf.rs
@@ -173,7 +173,9 @@ impl ScalarUDF {
     /// its [`ScalarUDFImpl::return_type`] should raise an error.
     ///
     /// See [`ScalarUDFImpl::return_type`] for more details.
+    #[deprecated(since = "44.0.0", note = "Use return_type_from_exprs() instead")]
     pub fn return_type(&self, arg_types: &[DataType]) -> Result<DataType> {
+        #[allow(deprecated)]
         self.inner.return_type(arg_types)
     }
 
@@ -450,6 +452,7 @@ pub trait ScalarUDFImpl: Debug + Send + Sync {
     /// is recommended to return [`DataFusionError::Internal`].
     ///
     /// [`DataFusionError::Internal`]: datafusion_common::DataFusionError::Internal
+    #[deprecated(since = "44.0.0", note = "Use `return_type_from_exprs` instead")]
     fn return_type(&self, arg_types: &[DataType]) -> Result<DataType>;
 
     /// What [`DataType`] will be returned by this function, given the
@@ -483,6 +486,7 @@ pub trait ScalarUDFImpl: Debug + Send + Sync {
         _schema: &dyn ExprSchema,
         arg_types: &[DataType],
     ) -> Result<DataType> {
+        #[allow(deprecated)]
         self.return_type(arg_types)
     }
 
@@ -756,6 +760,7 @@ impl ScalarUDFImpl for AliasedScalarUDFImpl {
     }
 
     fn return_type(&self, arg_types: &[DataType]) -> Result<DataType> {
+        #[allow(deprecated)]
         self.inner.return_type(arg_types)
     }
 
diff --git a/datafusion/functions/src/string/concat.rs b/datafusion/functions/src/string/concat.rs
index 895a7cdbf308..10470e74ac20 100644
--- a/datafusion/functions/src/string/concat.rs
+++ b/datafusion/functions/src/string/concat.rs
@@ -305,6 +305,7 @@ pub fn simplify_concat(args: Vec<Expr>) -> Result<ExprSimplifyResult> {
                 _ => None,
             })
             .collect();
+        #[allow(deprecated)]
         ConcatFunc::new().return_type(&data_types)
     }?;