The Dutchman, 20, has made five starts for Carlisle since arriving at Brunton Park in mid-November.
Boss Greg Abbott told the club's official website: "We've seen what Tim can do already, and I think he's been excellent.
"I'm delighted that we've been able to extend the loan for a second month and I think that's to the benefit of everyone concerned.
"Hopefully he'll continue to build on the performances that he's given us so far."