We asked this question a couple of days ago, when Ipswich Town took the lead in swaying Sam Allardyce to part with the youngster for a season.
But now Hull City want to throw their hat into the ring. And after Luque had Big Sam having second thoughts, and suddenly seeing what the Spaniard can do, Carroll could be heading to the KC Stadium on loan.
Luque Goals Could Pave The Way For Stiker Exit!
With Mark Viduka's Asian Cup campaign having come to a premature end, and riches up front with Michael Owen, Shola Ameobi and Obafemi Martins, Luque's arrival on the scene could further restrict Carroll's top-flight chances.
Hull boss Phil Brown worked with Allardyce at Bolton and remains close to the 52-year-old.
Brown: "I watched Andy on two or three occasions last year and I've already watched him against Hartlepool this summer.
"As far as Sam is concerned, he's in his plans, but if he's happy to see him go on loan, then yes, I'd be interested.
"I've spoken to Sam on two or three occasions and the conversations we've had have been very positive towards him (Carroll) maybe coming out on loan. However, Sam hasn't finished his own shopping yet."
Carroll signed a four-year contract having broken onto the first-team scene last season.
Allardyce: "There might be a possibility (when Viduka arrives on Tyneside) that one of those managers might get lucky. I might loan him out if I feel that's the right thing for Andy and the right thing for us."