Hawkins pitched two innings on Saturday night, allowing a run on a pair of second-inning doubles. He struck out three and walked none as the Brewers beat the A's, 4-3, in Maryvale, where the temperature was 108 degrees at game time.
Hawkins threw 31 pitches and his fastball, which hit 94 mph, was consistently 91-92 mph according to the report Milwaukee manager Ken Macha received.
In his first outing in Arizona on Thursday, Hawkins allowed two hits and no runs over 1 2/3 innings. He had two strikeouts and no walks, throwing 30 pitches.
The Brewers hope to have Hawkins come off the DL during a series at Cincinnati on July 26-28. But before that, he must show that he can pitch in back-to-back games for Nashville.
Hawkins, 37, has spent two months on the disabled list with weakness in his pitching shoulder. He last pitched for Milwaukee on May 5 and in 13 appearances before going on the DL was 0-3 with a 9.26 ERA. On the positive side, he had 15 strikeouts in 11 2/3 innings.
Hawkins was signed as a free agent over the winter after posting 11 saves and a 2.13 ERA in 65 appearances for the Astros. He has pitched in 766 Major League games.