Sam Fuld collected two hits for the Twins, who have won three straight including the final two in a home series win against Baltimore this past weekend.
Mike Aviles hit safely twice for the Indians, who stumbled to their eighth loss in their last 10
Escobar greeted John Axford (0-3) with a long blast to right which landed several rows back in the bleachers to give the Twins a 1-0 edge. Brian Dozier walked and Fuld's single moved him to third, but Dozier was erased at home on a Trevor Plouffe grounder. Chris Colabello flied out and Marc Rzepczynski induced a groundout from Jason Kubel to keep it a one-run margin.
Glen Perkins fanned two in a scoreless home half to earn his eighth save. Calbe Thielbar (2-0) held down the fort in the ninth for the win.