But with a host on players away on international duty, Ulster's season has hit the skids somewhat and Anscombe believes they were lucky to come away from last Friday's defeat to Glasgow Warriors with a losing bonus point.
Treviso on the other hand will be buoyant following their thumping home win over Munster on Sunday and Anscombe is wary of the threat the Italian side pose.
"They nearly beat us last time so unless we get our act together and perform better we're going to be in for another long night," Anscombe told the Irish Examiner.
"They're not going to come over and lay down so we've got to be more urgent in what we do.
"There's not too much to be positive about. We have too many guys that are drifting through the season and not accepting the role that they've got to do.
"If you're going to lose you at least want to get a bonus point out of it. We'll certainly take that after that performance.
"The concern is not so much that we're losing; it's how we're losing.
"I don't think we're putting the opposition under enough pressure and asking enough questions of them."