The game remained scoreless until the top of the sixth when Ramon Hernandez's RBI groundout scored Brian Giles. Earlier in the inning, Giles reached base on a dropped flyball in right by Jeromy Burnitz.
The Cubs threatened in the eighth off Akinori Otsuka, but failed to profit. Corey Patterson singled to lead off the inning and then advanced to second on a sacrifice bunt from Neifi Perez. Garciaparra would walk, putting two on with one out, but Aramis Ramirez popped out and Burnitz struck out to end the inning.
Trevor Hoffman finished things off in the ninth, retiring Derrek Lee, Todd Hollandsworth and Michael Barrett in consecutive fashion for his first save of the season. It was Hoffman's 15th career save at Wrigley Field, his most at any park not in the NL West.
Dempster (0-2) was impressive in only his second start since undergoing "Tommy John" surgery in 2003. He allowed a run (unearned) on fours hits in six innings. He struck out seven and walked three for the second straight start.
Mark Prior will make his first start of 2005 Tuesday at 1:20 p.m. (CDT) against Jake Peavy (0-0, 0.00). Before the game, the Cubs placed Todd Walker on the 15-day disabled list as a result of Carlos Lee's hard takeout slide at second base during Sunday's game. Walked suffered an MCL sprain on his left knee. For the time being, he will miss between 4-6 weeks. Mike Fontenot was called up from Triple-A to take Walker's spot on the 25-man roster. Patterson has now hit safely in all seven games.