Spurs have an option to recall the England U21 star this month and a host of injuries in midfield to players such as Sandro, Paulinho and Gylfi Siggurdson have left new manager Tim Sherwood short of options.
Carroll would add another creative option for Sherwood in midfield if he returns to White Hart Lane as Spurs combine a bid for a place in the top four with the latter stages of the Europa League.
They face Arsenal in the FA Cup third round at the Emirates on Saturday evening.
Left-back Benoit Assou-Ekotto - QPR's other Spurs loanee - has been given permission to play at Goodison Park.
Spurs spent much of the first half of the season without a recognised left-back because of injury to Danny Rose, but his return to action alongside the promotion of Zeki Fryers under Sherwood means the Premier League club do not need the Cameroon international to return.