An error by Copenhagen defender Jesper Gronkjaer in minute 17 resulted in Nicolas Ankelka pushing the ball up and releasing a strike that squeezed past Johan Wiland to put Chelsea ahead.
Later in the half, Fernando Torres found an opening on the left side and after a pair of moves took a shot, but it was deflected wide of the near post. Torres, who was booked for a yellow card, had another chance in minute 25 off a pass from Lampard, but again, couldn't convert.
Anelka had another chance in minute 39, but his shot sailed over the crossbar.
Jorgensen was booked for a yellow in the minute 6 for a foul on Torres.
D: Pospech, Jorgensen, Antonsson, Wendt
M: Bolanos, Kvist,Claudemir, Gronkjaer
F: Santini, Dame
D: Bosingwa, Ivanovic, Terry, Cole
M: Ramires, Essien, Lampard
F: Anelka, Malouda, Torres