None of the interested sides have made any sort of formal offer for the 23-year-old centre-back and with about 14 hours left before deadline day, all moves seems to be off.
Van Dijk revealed that he is happy with all the interest in regards to his services, but he has come out to play down any exit talk.
He said: “Interest is fine, it’s always good to have people watching you but I can do nothing with interest and it looks like Celtic don’t want to sell me so it looks like I’m staying here.
“I’m happy here of course because Celtic is an amazing club and I love being here.”
Apart from the two mentioned Premier League teams, Sunderland and West Bromwich Albion were also said to be in line to sign the Dutch defender if an agreement could be reached.
With Celtic playing Dundee United in the Scottish League Cup final in March, the decision for Van Dijk to remain at the club will be a huge boost to his manager going into the clash.