Celtic could use the cash gained from any sale to fund a move for 26-year-old Hooiveld, whose agent Alex Kroes told STV: "He has had a very good last two years of his career. He is really going step by step quickly forward.
"Celtic is a bigger club than AIK. AIK still is a big club, they play weekly for 35,000 people.
"It's a great club, they won the cup last year, they won the league title, but of course Celtic is another step forward in his career.
"If a move could happen and things become concrete, it would be very good for both Celtic and for the player."
He added: "[AIK] will never allow their best player to go on loan somewhere.
"If it will be happening, they will have to put some money on the table."
The 6ft 3in centre-back reportedly visited Glasgow to tour the facilities at Parkhead and Lennoxtown.
He was part of the AIK team that recently won the double in Sweden and can play at the back or in midfield.
He would likely be a replacement for Caldwell, who is out of contract in the summer.
Robson's Celtic deal runs until 2011, while Strachan is also reportedly interested in signing Willo Flood and Chris Killen on loan, neither of whom are in the first-team picture at Parkhead.
Strachan said on Thursday: "We are trying hard to bring in people who can lead and people who want to be led.
"I want to bring in leaders and men - that's hugely important now. I have to have people who I know, players I know who are men, who are leaders, and who know about playing at this level.
"There will not be any foreigners coming in this time, that's for sure. We have to add that wee bit of enthusiasm and knowledge."