Morrow, making his second start of the exhibition season, turned in three more scoreless innings. Morrow has now yielded two hits and faced just 18 batters in five innings of work.
Blue Jays manager John Farrell was particularly pleased with Morrow's performance. Twenty-seven of Morrow's 32 pitches were strikes.
"He threw strikes all day long -- that's the basics and fundamentals of pitching," Farrell said.
Baltimore starter Wei-Yin Chen, making his second spring start for the Orioles after pitching for four years in Japan for the Chunichi Dragons, also worked three innings.
Rasmus doubled down the right-field line with two outs in the second inning, driving in Kelly Johnson with the Blue Jays' first run. Snider knocked in another with a long single off the right-field fence against Baltimore's Armando Galarraga in the fourth.
And Vizquel, who is fighting to make the team as a utility infielder, delivered a bases-loaded two-run single to left.
Up next: Left-hander Brett Cecil will make his third start of the spring on Tuesday at 1:05 p.m. ET, when the Blue Jays face the Twins and fellow lefty Francisco Liriano in Fort Myers, Fla., the first of two meetings between the two teams this spring. The game can be heard on Gameday Audio. The Blue Jays will also play Team Canada in their annual exhibition at Al Lang Field in St. Petersburg on Tuesday. Hot-hitting Brett Lawrie (.579) will return to the lineup in that game, which will also start at 1:05 ET.
Jim Hawkins is a contributor to MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.