You can monitoring TEMPDB usage by using the following SQL statement.
SELECT COALESCE(T1.session_id, T2.session_id) [session_id] , T1.request_id , COALESCE(T1.database_id, T2.database_id) [database_id], COALESCE(T1.[Total Allocation User Objects], 0) + T2.[Total Allocation User Objects] [Total Allocation User Objects] , COALESCE(T1.[Net Allocation User Objects], 0) + T2.[Net Allocation User Objects] [Net Allocation User Objects] , COALESCE(T1.[Total Allocation Internal Objects], 0) + T2.[Total Allocation Internal Objects] [Total Allocation Internal Objects] , COALESCE(T1.[Net Allocation Internal Objects], 0) + T2.[Net Allocation Internal Objects] [Net Allocation Internal Objects] , COALESCE(T1.[Total Allocation], 0) + T2.[Total Allocation] [Total Allocation] , COALESCE(T1.[Net Allocation], 0) + T2.[Net Allocation] [Net Allocation] , COALESCE(T1.[Query Text], T2.[Query Text]) [Query Text] FROM ( SELECT TS.session_id , TS.request_id , TS.database_id , CAST(TS.user_objects_alloc_page_count / 128 AS DECIMAL(15, 2)) [Total Allocation User Objects] , CAST(( TS.user_objects_alloc_page_count - TS.user_objects_dealloc_page_count ) / 128 AS DECIMAL(15, 2)) [Net Allocation User Objects] , CAST(TS.internal_objects_alloc_page_count / 128 AS DECIMAL(15, 2)) [Total Allocation Internal Objects] , CAST(( TS.internal_objects_alloc_page_count - TS.internal_objects_dealloc_page_count ) / 128 AS DECIMAL(15, 2)) [Net Allocation Internal Objects] , CAST(( TS.user_objects_alloc_page_count + internal_objects_alloc_page_count ) / 128 AS DECIMAL(15, 2)) [Total Allocation] , CAST(( TS.user_objects_alloc_page_count + TS.internal_objects_alloc_page_count - TS.internal_objects_dealloc_page_count - TS.user_objects_dealloc_page_count ) / 128 AS DECIMAL(15, 2)) [Net Allocation] , T.text [Query Text] FROM sys.dm_db_task_space_usage TS INNER JOIN sys.dm_exec_requests ER ON ER.request_id = TS.request_id AND ER.session_id = TS.session_id OUTER APPLY sys.dm_exec_sql_text(ER.sql_handle) T ) T1 RIGHT JOIN ( SELECT SS.session_id , SS.database_id , CAST(SS.user_objects_alloc_page_count / 128 AS DECIMAL(15, 2)) [Total Allocation User Objects] , CAST(( SS.user_objects_alloc_page_count - SS.user_objects_dealloc_page_count ) / 128 AS DECIMAL(15, 2)) [Net Allocation User Objects] , CAST(SS.internal_objects_alloc_page_count / 128 AS DECIMAL(15, 2)) [Total Allocation Internal Objects] , CAST(( SS.internal_objects_alloc_page_count - SS.internal_objects_dealloc_page_count ) / 128 AS DECIMAL(15, 2)) [Net Allocation Internal Objects] , CAST(( SS.user_objects_alloc_page_count + internal_objects_alloc_page_count ) / 128 AS DECIMAL(15, 2)) [Total Allocation] , CAST(( SS.user_objects_alloc_page_count + SS.internal_objects_alloc_page_count - SS.internal_objects_dealloc_page_count - SS.user_objects_dealloc_page_count ) / 128 AS DECIMAL(15, 2)) [Net Allocation] , T.text [Query Text] FROM sys.dm_db_session_space_usage SS LEFT JOIN sys.dm_exec_connections CN ON CN.session_id = SS.session_id OUTER APPLY sys.dm_exec_sql_text(CN.most_recent_sql_handle) T ) T2 ON T1.session_id = T2.session_id