Federer scooped his 100th ATP title by winning the Dubai Tennis Championships last week.
The Swiss star returns to action at Indian Wells later this week with an outside chance of closing down Connors’ record of 109 trophies.
However, the world No 4 claims not to be thinking about trying to become the most decorated men’s player of all time.
“A big thank you to all the people who supported me on this path,” Federer told SRF.
“First and foremost, my parents.
“Honestly, I do not think about the record of Connors.
“Nine sounds close, but it is not. For this I would have to play at least two years on this level.
“That’s not easy, I’m aware of that.”
At 37 years old, it is unlikely Federer will play on until near his 40th birthday.
However, it would be more feasible to chase down the final nine trophies if he entered more ATP 250 events, which top-10 players tend not to do.
Meanwhile, Federer’s long-term coach Severin Luthi was proud of helping the 20-time Grand Slam winner bring up his century.
“100 titles, that’s hard to imagine, that’s amazing,” he added.
“And the nice thing is that Federer still has the drive, is still motivated and has fun playing.
“He has already broken so many records that he will not stiffen to Connors’ record.”
Federer has been handed a difficult draw in California and could face fellow countryman Stan Wawrinka in the third round.
He has been placed in the same half of the draw as Rafael Nadal, but world No 1 Novak Djokovic cannot be met until the final