The Porcupine Warriors are third, six points behind leaders All Stars with three crucial games to end the campaign.
But Antwi still believe they can still push to win the league.
Kotoko will play Medeama and Ashanti Gold away before playing host to WAFA in last fixture.
“We are on course and I believe anything can happen in football.” Antwi told Adom Sports.
“We have three matches to play and if we are able to win all our matches and Aduana Stars and Wa All Stars slip, I believe we can win the league.”
The 23-year-old joined Kotoko from Amidaus Professionals in 2013 as first-choice goalkeeper.
However, he has fallen down the pecking order under interim manager Michael Osei and is currently third behind Ernest Sowah and Felix Annan.
“I didn’t start the season very well. We played against WAFA and I conceded a goal and I conceded another one in Kumasi which the supporters felt I could have done something about but football is full of uncertainties.” Antwi told Adom Sports.
Meanwhile, Ghanasoccernet.com has reported that Accra Hearts of Oak are yet to contact Bechem United’s coach Manuel Zacharias for a possible coaching job at the club.
Circling media reports have claimed the Portuguese is on the radar of the Phobians.
The widespread reports suggested talks have started over the possibility of luring him to take over the reigns of the club next season.
But the tactician’s representative Francis Gorman Hackman has denied the claims as wide off the mark.
“It’s not true Hearts have contacted us regarding Manuel. As I speak with you nobody from Hearts has spoken to me.”
“He is the head coach of Bechem United and will stay that way till the end of the season.