The keeper played every minute for Sunderland last season but faces a fight with Pepe Reina, who has missed just 20 games in eight years, for the Anfield club's No.1 jersey
The 25-year-old moved to Anfield from Sunderland for a reported £9 million fee in June and has signed a long-term deal with Brendan Rodgers’ side after playing every minute of Sunderland’s Premier League campaign last term.
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"I'm not here to be sitting and resting. I'm here to come and progress, and play," he said.
"The only thing I can do is train hard, show the manager that I'm ready for it and in the games when I get my chance I have to be there and be ready.
"Competition is something I have had at every single club.
"It's a challenge that can make you better and stronger and I will just try and do my best."
Mignolet has 13 Belgium caps to his name and impressed last season, despite Sunderland’s battle against relegation, keeping 11 clean sheets in 38 appearances.