Our striking recruit from Brighton featured for the first 45 minutes of the pre-season encounter at the Kassam Stadium and struck after 21 and 44 minutes to go level in the friendly scoring charts with fellow new boy Helder Postiga.
He was not, however, in the business of talking up his display.
"It is very pleasing," he pondered. I wasn't overly impressed with my performance - but I'll settle for two goals every game!
Bobby did concede though, that goals are his game and he hopes to carry on in the same vein when the serious stuff begins in August.
"Yes definitely, to get goals would be lovely and hopefully I can continue doing that," he said before added that the settling in process is moving along smoothly.
"It has been great, the lads have been quality. I've only met half of them as the rest had the game on Saturday, but I am finding my feet and hopefully I can pick up how every player plays and improve my game as well.
"I'm still buzzing from joining - I don't think that will die down for a long while."
You can see Bobby's opening goal by clicking on the Real Player icon, but you can also see all the goals and Glenn Hoddle's reaction for free in the Video Lounge. To visit the Video Lounge, click here.
Bobby Zamora was delighted to swiftly get off the mark against Oxford - but claimed to be slightly unimpressed with his debut performance.