He's aware that critics are keeping a close eye as he makes the step up from Brighton.
"I know people will talk about the transition until I get a goal or two, then they'll have to turn to something else," pondered Bobby at Spurs Lodge. "I'm sure that goal isn't far away though.
"Obviously I'd love to get that first Premiership goal but I know it will come at some stage. It's not really on my mind at the moment.
"It will come soon if I keep working hard and keep playing how I have been."
Bobby's workrate has caught the eye as he's started at the likes of Anfield and Stamford Bridge - stages he always dreamed of playing on.
He added: "I'm delighted to be here and I think my performances on the pitch have been okay, not too bad, and the important thing is even if I'm not scoring goals, I'll give 100 per cent.
"That's something I'll do week in, week out, whether it's chasing defenders down or setting people up, I'll try my hardest."
Bobby Zamora says he's not overly-concerned that he's still waiting for his first Premiership goal, convinced it's only a matter of time.