Vesia (2-3) earned the win over Oakland on Sunday, striking out two batters in a perfect inning of work.
Vesia picked up the save over the Brewers on Saturday, pitching a perfect ninth inning while striking out one.
Vesia recorded his second save of the season in the second game of Tuesday's doubleheader sweep of the Mets, striking out three and walking one in two scoreless innings.
Vesia (0-5) took the loss against Atlanta on Saturday, allowing three runs (two earned) on two hits and and one walk over 1.1 relief innings.
The Dodgers recalled Vesia from Triple-A Oklahoma City on Thursday, Bill Plunkett of The Orange County Register reports.
Los Angeles recalled Vesia from Triple-A Oklahoma City on Tuesday, Juan Toribio of MLB.com reports.
The Dodgers optioned Vesia to Triple-A Oklahoma City on Wednesday, Fabian Ardaya of The Athletic reports.
Vesia earned a hold over San Diego on Thursday by retiring both batters he faced, including one by strikeout.
Vesia earned a hold against the Padres on Sunday with a perfect inning of work that included two strikeouts.