Arsenal need a new centre-half, Manchester United likewise.
There are a few options around, and one both are said to be considering is Celtic defender Virgil van Dijk.
The Dutchman has caught the eye since arriving at Parkhead, with his efforts recognised by inclusion in the senior Holland squad.
He certainly appears to have all of the attributes required to be a success in the Premier League, with the 23-year-old strong in the air and on the deck.
He told Sky Sports: “I know about the things happening in January. What is important to note is that we want to keep, and are going to keep, every player that is important for us. We want to be stronger when we go into the 1st February than we are now. That’s what we are aiming for and that’s what is going to happen.
“The club doesn’t need money. We sold Fraser Forster in the summer and we don’t need to sell anybody and we don’t want to sell anybody, we want to keep them. We want to build a team. The players want to be a part of that and I know Virgil is loving it here. I see him here longer term than January.
“We will not sell him in January, so that’s a positive thing.”
That message will have been heard at Emirates Stadium and Old Trafford, but whether it is noted remains to be seen.
Every player has a price and Van Dijk’s agent has already revealed that any interest shown from the Premier League will be considered.
Were Arsenal and/or United to put a bid on the table, then Celtic and Van Dijk would have a big decision to make and it could be that he does end up on the move in the New Year.