The England Under-21 international was sent out on loan to Bristol City in the summer and has hit the ground running in the Championship.
He's found the back of the net 11 times in 16 games across all competitions, picking up the PFA Fans' Player of the Month award for August and September.
Chelsea manager Conte has given chances to youngster Nathaniel Chalobah, Ruben Loftus-Cheek and Ola Aina in recent weeks.
And Abraham reckons he has a good chance of pushing for a first-team spot next season at Stamford Bridge.
"I think with the new manager (Antonio Conte) coming in the chances are there because we can see he's been playing youngsters,” the 19-year-old told Sky Sports.
"It's a case of when you get the opportunity you have to impress and give your all. Everyone has their time and hopefully my time will come soon.
Chelsea players out on loan
Thu, September 1, 2016Chelsea have shipped a record 38 players out on loan this summer, but who are they and where have they gone?
Where have Chelsea sent 38 of their players on loan this season?
"We always chat to each other after matches and find out how we're doing. We keep in contact and the [Chelsea] coaches get back to us and inform us of little things.
"They make you feel involved even though you're away."
Abraham has bagged eight goals in the Championship for Lee Johnson's side, helping the Robins to sixth in the standings.