The 23-year-old joined the Millers on the final day of the emergency loan window and has played six times for the club.
Wootton missed the weekend FA Cup defeat at home to Bournemouth but is in line to return against Brentford on Saturday, after which his loan spell is set to end.
Steve Evans, however, is keen to make the switch a permanent one and The Yorkshire Post understands that Leeds are open to the suggestion if Rotherham will pay the remainder of the £500,000 fee that the Elland Road club still owe to Manchester United.
Wootton is well down the pecking order at Leeds, with Liam Cooper, Jason Pearce and Giuseppe Bellusci all preferred to the former Old Trafford junior.
Another centre-back is also expected to arrive during the window, while teenage Italian defender Dario Del Fabro is another option after impressive on his debut at Sunderland in Sunday’s FA Cup third round defeat.
One player who could be heading out of south Yorkshire as Wootton arrives is Alex Revell.
According to sources in south Wales, Cardiff City have made a bid for the 31-year-old striker.
Russell Slade, whose Leyton Orient side were pegged back by Revell’s double in last May’s League One play-off final before being beaten on penalties, is understood to be a big fan of the Millers striker.
Revell is out of contract in the summer, a situation Slade is keen to exploit in Cardiff’s favour. Like Wootton, he missed the 5-1 loss to Bournemouth last weekend.
Elsewhere in the Championship, Middlesbrough defender Rhys Williams is facing another lengthy lay-off after it was confirmed he ruptured his Achilles tendon against Barnsley in the FA Cup.
The 26-year-old was making his first appearance in 11 months after suffering a similar injury. He lasted just two minutes, before collpasing in pain and then being stretchered from the field.
Williams’ injury has been described as “extremely rare” with Boro insisting the Australia international has “damaged another part of the tendon”, and that Saturday’s injury is not related to the previous problem.
Either way, the blow is a huge one for Williams, who will now undergo surgery.