Barnes (3-2) allowed two runs on three hits while striking out two in Monday's 5-4 loss to the White Sox.
Barnes, who entered the game having thrown six consecutive scoreless outings, had difficulty with the bottom third of Chicago's order. He yielded a leadoff triple to Yolmer Sanchez on a 1-2 curveball and a double to Kevan Smith that knotted the game. Melky Cabrera later poked a single behind second base to knock in the go-ahead run. Despite giving up the lead and a possible win for David Price, who had an encouraging 2017 debut after dealing with elbow soreness since February, Barnes should remain a high-leverage reliever for the Red Sox.