The Gunners were among Southampton, Swansea City and Newcastle United to target the Dutch, defender but Deila is confident that Van Dijk is committed.
Deila told reporters: "I have no concerns about his commitment. I can honestly say I'm really happy about his situation and have no concerns.
"I can see his body language and he is happy. Now he is focused on getting good results with Celtic and getting better."
Van Dijk was left out of the Celtic squad to face Dundee last week, sparking further speculation regarding the player's future, but Deila continued to deny that a move was imminent.