The new world number one, who won that spot off the back of his victory at the International Championships in Chengdu, left Allen for dead at 1-1, racing away to secure his place in the last four.
“Once I got to three frames I was able to relax,” said Trump. “I felt a bit of pressure at 2-1 to try and win it in one visit and I played some decent stuff.
“I feel like I am improving at the moment. I feel that this season I have really come of age. I feel like my game has really improved over the last couple of years and at this moment in time I am ready to step up.
“I would say I am playing at about 75 per cent. I would say I have another 25 per cent left but I am playing quite consistently at the moment and I am not giving away easy chances like I used to. My scoring isn’t quite as heavy at the moment and if I get that back then I think I will be tough to beat.”
Shaun Murphy also enjoyed a convincing 5-1 win - against Mark Selby - as the 2005 world champion registered his first win in Group A.
Murphy hit a break of 116 in the fifth frame on his way to a comfortable victory over deposed world number one Selby, who has no chance of progressing having now lost all four of his matches.
“I feel I have played well in the Premier League all season but on the nights people have played better than me," Murphy said. "At least I know I am playing well.
“Mark and I are great friends off the table and that makes it easier to play each other. We have a lot of banter but we both wanted to beat each other, so we were enjoying it but trying very hard as well.”
Group A plays to a conclusion on November 15 at Spennymoor LC, Durham, before the semi-finals and final take place at the Auditorium in Grimsby on November 24 and 25.
Mark Selby 1-5 Shaun Murphy
6-86 (Murphy 86), 81-1 (Selby 45), 0-97 (Murphy 45, 48), 22-72 (Murphy 55), 0-116 (Murphy 116), 0-81 (Murphy 81)
Judd Trump 5-1 Mark Allen
102-0 (Trump 44), 40-68 (Allen 60), 76-0 (Trump 76), 81-0 (Trump 47), 76-47 (Trump 76, Allen 47), 77-48 (Allen 40, Trump 44)