His concern centred around the defence and he was particularly disappointed with our first half display and the goals conceded - two headers from ex-Spur Peter Crouch.
"Defensively it wasn't good enough, nowhere near good enough and we've got a lot of work to do," said Glenn afterwards.
But he was taking nothing away from our attacking display - the best yet in pre-season. Apart from the goals, the passing and movement was, at times, a joy to watch.
Four of the five goals came from classic passing movements. The first came after nine minutes as Teddy Sheringham swivelled on Stephen Carr's low cross and drilled first-time into the bottom corner.
Pompey replied straight away. Jason Crowe made it to the byline and his fine cross was met at the far post by Crouch, who headed back across Neil Sullivan and home.
It took eight minutes for us to regain the lead as Goran Bunjevcevic threaded a pass to Steffen Iversen who toed it past Darren Moore and slid home.
Another Crouch header forced a fine save from Sullivan as we led 2-1 at the break.
It took just five minutes to stretch the lead in the second half. Mauricio Taricco played the ball to Stephen Clemence and the midfielder took it in his stride before lashing a shot into the far corner.
The fourth goal was route one football at its best. Sullivan kicked long, Les Ferdinand flicked on and Sergei Rebrov was onto it in a flash and dispatched the ball with little fuss.
The fifth goal was the pick of the bunch. Chris Perry won the ball, one-touch passes from Clemence and Oyvind Leonhardsen released Poyet and his first-time cross was met by Rebrov's flying header.
Crouch completed the scoring a classic forward's header from Kevin Harper's corner.
Teams: Portsmouth: Flahavan, Crowe, Vincent (Edinburgh, 68), Hiley (Gnohere, 63), Moore, Miglioranzi (Harper, 56), Bradbury (Panopoulos, 68), O'Neil, Crouch, Quashie, Pitt (Brady, 56).
Spurs: 1st half: Sullivan, Carr, Ziege, Doherty, King, Bunjevcevic, Anderton, Freund, Davies, Iversen, Sheringham.
2nd half: Sullivan, Leonhardsen, Doherty (Bunjevcevic, 81), King, Perry, Taricco, Poyet, Sherwood, Clemence, Rebrov, Ferdinand.
Five goals, five wins out of five in friendlies - but Glenn Hoddle wore a look of a concerned manager after Wednesday's win at Fratton Park.