And the Irishman admits there will be a certain irony should he reach the landmark with a brace of tries at the Liberty Stadium on Saturday night.
Bowe, 24, said: "These things always tend to happen don't they? Having spent five enjoyable years as part of the Ulster set-up, where I scored all bar one of my Magners League tries, it wouldn't surprise me if that happened.
"But I am not really paying much attention to records. I would take not scoring and the Ospreys winning over me getting that try but losing any time."
Bowe spent five years at Ravenhill before sealing a big-money, summer move to Wales.
The 15-cap Ireland star has already impressed his new set of fans by getting off the mark with a fantastic solo try in the Ospreys' derby win over Cardiff Blues.
Bowe will hope to continue his rich vein of form in a new position of centre alongside James Hook but insists friendships will be hold as the Welsh region look to leapfrog Munster at the top of the table.
He said: "It's going to be a little strange playing against Ulster. I had a great time there and have got plenty of friends in the camp.
"Friendships will be put aside and the most important factor will be helping to secure another win for the Ospreys."
Bowe lines up at centre alongside James Hook who swaps from fly-half to allow Dan Biggar to make his first start at the Liberty Stadium.
Wales wing Shane Williams returns following a dead leg while Ryan Jones and fit-again Gavin Henson are named on the bench.
Ospreys: Lee Byrne; Nikki Walker, Tommy Bowe, James Hook, Shane Williams; Daniel Biggar, Rhodri Wells, Paul James (capt), Richard Hibbard, Adam Jones, Andy Lloyd, Ian Evans, Jonathan Thomas, Tom Smith, Marty Holah
Replacements: Huw Bennett, Duncan Jones, Ian Gough, Ryan Jones, Rhys Webb, Andrew Bishop, Gavin Henson