The game, which was played behind closed doors, was a lively affair with a Spurs side that featured Lions targets Charlie Daniels and Andy Barcham and The Lions were guilty of wasting a number of gilt-edged chances in the first half before Tottenham's Alex Olsen scored from the spot on the hour.
But after a period of sustained pressure from Kenny Jackett's men, Alexander poppd up with a pile-driver to peg Spurs back.
The game was also notable for the appearance of Lenny Pidgeley on the subs' bench after an unsuccessful trial with Motherwell.
Millwall
Edwards, Dunne, Craig, Robinson, Whitbread; Martin (Hackett), Abdou, Laird, Brkovic, Alexander, Abdou (Grabban).
Subs not used: Frampton, Pidgeley, Forbes, Harris, Grimes, Smith, Spiller.