Rooney, who currently has 41 goals in 96 games for his country, sits fourth in England’s all-time highest goal-scorers list, and is just eight goals away from matching the legendary forward Sir Bobby Charlton.
The Manchester United frontman admits he is eyeing the record, but would prefer winning silverware with his team rather than achieving individual accolades.
"It would be great if I could do it (become top scorer)," said the 28-year-old.
"I'd never have thought that when I came into this England team that I would be best goal scorer. It would be massive for me and make my family proud. I want to do it.
“But for a footballer, you're in this game for your team-mates and there's nothing better than getting a trophy."
Rooney could be in line to take over England’s third-highest scorer, Jimmy Greaves, as he lies just three goals behind the former Tottenham great.
"I'm confident in myself and believe I will (do it), but the game (on Thursday) is more important than me scoring four or five goals," he added.
Rooney is hoping to lead his side to victory as he eyes success with the Three Lions in their Euro 2016 qualifying match-ups against San Marino and Estonia.
"To get yourself up for a game at Wembley is quite easy," he said. "We can win comfortably. We have to go out and do that."
England host San Marino on Thursday night before travelling to Estonia for their next qualifier on Sunday, 12 October.