Abraham scored a hat-trick in a 5-2 win over Wolves on Saturday, taking his tally of Premier League goals to the season for seven, with all of them coming in Chelsea's last three outings.
The forward missed out on Gareth Southgate's most recent England squad, though he has since moved level with Sergio Aguero at the top of the Premier League scoring charts.
Abraham is also eligible for Nigeria should he decide to snub an England call-up, though Lampard is certain the 21-year-old has the mentality to succeed if he is selected by Gareth Southgate.
Chelsea's head coach also insists he always had full faith in the youngster to lead the line this term regardless of their transfer ban.
"A lot has been made of the [transfer] ban giving young players the potential opportunities, but I thought the time was right to give Tammy the opportunity at this club anyway because of the quality he's got.
"I'm really delighted he's got his goals, there's more still to come. He's in a place now where he just needs to sustain and improve even more, and I think with his mentality and how he is I hope to see that.
When asked about Abraham's England chances, Lampard said: "It's not a question for me.
"I've just spoken about how I feel about Tammy. He's put himself in the bracket for England with being top scorer at this point.
"It's one for Gareth, I'd hate to step on his toes but it's clear with what Tammy is doing he's going to be wanted."