The 25-year-old joined Bill Belichick's team in June following his release from the New York Jets in April.
Tebow told reporters: "I'm feeling good, working hard. I'm just trying to get better every single day.
"That's our goal, Just learning the offense, you feel more comfortable every single day.
"There is some carry-over from Denver, but then it's picking up again and running with it and trying to understand it and play fast."
Tebow was selected 25th overall in the 2010 draft by the Denver Broncos and spent two seasons in Colorado before being traded to the Jets.