Having finished second in last season's RaboDirect PRO12, the Ospreys currently sit in fourth place with nine wins from 13 league games.
Wing Grabham, 21, has made eight appearances this season, and looks set to get more first-team games with Eli Walker in the Wales squad for the RBS 6 Nations.
Nine of the 36-man Welsh squad have been provided by Steve Tandy's side, meaning Grabham is not going to be the only one handed first-team experience.
And going into this Sunday's clash with Aviva Premiership champions Harlequins in the LV= Cup, Grabham hopes that he can nail down a spot in the RaboDirect PRO12 side.
"It's nice to be playing and it was great to get a debut in the Heineken Cup - hopefully I can keep it going," said Grabham.
"Hopefully I can get some more game time in the RaboDirect PRO12 too. I think performances speak for themselves, and it's all about Sunday for me.
"It will give us a bit of confidence playing at the Brewery Field - being a Bridgend boy it will be nice to play in front of the home fans and friends and family, I'm looking forward to it.
"It's a big game, and with Eli gone it's another big opportunity for boys like Ross Jones to step up, there's a lot of competition in the squad at the moment."