Ulster are sweating over the fitness of Dan Tuohy and Luke Marshall ahead of their Heineken Cup Pool Four clash with Glasgow Warriors next Friday.
The pair came off against the Scarlets, with lock Tuohy suffering an apparent recurrence of a calf injury while centre Marshall's had a finger issue.
"It's not looking good. It's the same leg/calf injury so that's got to be a concern," Anscombe told BBC Sport of Tuohy.
"Luke Marshall is also a real concern as is Jared (Payne)."
Ulster remain without flanker Stephen Ferris while Johann Muller is recovering from a broken arm.