The Coventry boss, who has dismissed rumours linking him to the Doncaster vacancy as "absolute speculation", brought left-back Adams to the Ricoh Arena in November.
He has proved a big success, making 12 appearances, and the Sky Blues have on Tuesday afternoon extended his stay until January 16.
Robins is keen to keep hold of the 21-year-old for much longer, although he was coy over whether that would be in the form of a loan until the end of the season or a permanent deal.
"We want to try and keep him for as long as we possibly can do, we've extended his deal for a week and we'll let talks continue between the two clubs," Robins said. "Hopefully we can get the immediate future resolved in the next week."
Asked whether it would be a permanent agreement, Robins replied: "I don't really want to comment on that yet. Obviously Sunderland have been kind enough to extend his loan and we will do what we need to do over the next week. Hopefully we can have that resolved."
Midfielder James Bailey has already extended his loan this month while Franck Moussa has penned an 18-month contract and striker Leon Clarke has arrived for an undisclosed fee.
But Robins insists he is not being forced to offload players, despite City's ongoing financial concerns.
"Football is fluid. The transfer window is open so there may be some permanent movement, who knows? There's nothing planned," he said.
"You've got to be on your toes and ready to react, but at the moment I'm not under any pressure to move people on, I don't think. Hopefully that will continue because we've got some decent momentum and a decent run of games, they're coming thick and fast."