Shaw went 2-for-4 with two RBI in Wednesday's 6-2 win over the Angels.
Shaw has started four of Chicago's first six games of the season in right field, with Michael Conforto also working into the mix. The former delivered his first multi-hit effort of the year Wednesday, and he should continue to see regular time in right until Seiya Suzuki (knee) is able to return. When Suzuki does come back, Shaw may shift into more of a super-utility role for the Cubs due to his ability to play the infield.