Last season's Premier League runners-up sold fellow England full back Kyle Walker to Manchester City for 50 million pounds last month with Trippier a ready-made replacement.
Goals from Harry Kane and Christian Eriksen condemned Juve to their third friendly defeat of preseason and ensured they ended it with no clean sheets, but Allegri was unfazed by the result.
Trippier had set up the opening goal for the hosts, attacking with verve down the flank.
In less positive news, Trippier came off worse in two crunching challenges, the second of which forced him off just before half-time (he was later shown wearing a boot and on crutches). "We will wait until Monday but the feeling at the moment is good", Pochettino said. "We hope that it is not a big issue". But still we need to wait and we can not saying anything today and wait until Monday. Our idea was to try to provide the team with more strength and try to sign a few players before the end of the transfer window.
"He is working hard", said Pochettino. "But we are looking to add in different positions of the pitch, different players".
If the former Burnley full-back is sidelined, 20-year-old Kyle Walker-Peters could be in line for his Premier League debut when Tottenham travel to Newcastle on Sunday, 13 August.
Spurs have identified the right-back position as an area that requires strengthening, and Sky sources understand they have considered making a move for Hoffenheim's Jeremy Toljan after cooling their interest in Porto's Ricardo Perreira.