The winger has struggled to live up to the £89m fee the Blues paid for his services in January, albeit during a difficult period for the club.
Pochettino is yet to start the 22-year-old this season but has since lost Carney Chukwuemeka to injury, putting Mudryk in contention to feature from the off at home to Luton on Friday.
Sunday’s defeat at West Ham saw the Ukraine international make an underwhelming cameo but Pochettino believes there is much more to come.
“He’s a young player and a player that has a lot of talent,” explained Pochettino.
“I think he needs to build his continuity and trust [with his team-mates], work hard in the training sessions during the week and continue to show he is ready to perform.
“We need to also build that trust with him and he needs to build it with us as part of the team, as is the same with many of our younger players.
“It will take a little time but there is no doubting he has enormous talent and quality and it’s only a matter of time before he settles into the team on a regular basis.”
The Argentine has a proven track-record in improving young players, having risen to prominence while doing so at Tottenham.
The Blues could yet strengthen their options out wide with Nottingham Forest forward Brennan Johnson and Lyon winger Bradley Barcola targets late into the summer transfer window.