Black Cats target Danny Graham could have established himself as a real villain on Wearside had he converted Michu's injury-time knock-down, although it took a fine block by Titus Bramble to deny him and ensure the game finished goalless.
Sunderland could hardly have complained had the visitors emerged with the three points after turning in a lacklustre display, particularly before the break.
Laudrup said: "In Swansea, everybody since then has been talking only about the Chelsea game and the final on February 24.
"Absolutely no-one has spoken one word about Sunderland and the league game so it was very important for me to see the reaction from the squad and that's why I am really pleased."
Laudrup insisted he had no qualms about naming Graham in his 18 but admitted he does not know what will happen with him over the next 48 hours.
He said: "There are still two days to go and at this stage, it's much better to wait until February 1.
"After that, it's easier for everybody to answer the questions than to start to guess what will happen in the next 49, 50 hours."