The 21-year-old has struggled for form since his close-knit family returned to Brazil after their UK holiday visa expired 18 months ago.
But after scoring four in Wednesday night's 9-0 win over Burton Albion, Jesus feels he's back in form.
"I've already forgotten the problems of last year and I'm really happy now," he said. "My family is going back to Brazil, unfortunately, but that's an issue just at home, not on the pitch.
"I've had amazing days beside them, I'm grateful for the family I have, they are always beside me and allowing me just to focus on football.
"I'll miss them, obviously, but I'm mentally stronger now and I just want to play well, score goals and help the team."
He added: "Sure (I can do it) like when I first came here," he told Esporte Interativo. "I've always respected and will always respect Sergio and the manager's decisions, but it's up to me to pursue a place in the team.
"I try to show on a daily basis, training hard trying to get into the first XI.
"I know Sergio is having an amazing season, but I'm here able to help whenever they need me.
"I haven't played a lot on Premier League this season and I want to help."