Alex Colome blanked the A's for five innings Thursday, combining with four relievers on a 3-0 shutout.
Jake McGee struck out two in a perfect eighth Thursday against the A's.
David DeJesus had a solo homer and an RBI double versus the A's on Thursday.
Steven Souza Jr. struck out all four times he was up Thursday against the A's.
Drew Smyly's rehabilitation from a torn left labrum is expected to take eight weeks.
Asdrubal Cabrera is not in the Rays' starting lineup Thursday evening against the Athletics.
Rays manager Kevin Cash said it was "all thumbs up" for Matt Moore after his bullpen session Wednesday.
Jake Odorizzi allowed two runs in six innings, taking a tough-luck loss against the Braves on Wednesday.
Ryan Brett (shoulder) has played in two extended spring training games.
John Jaso (wrist) has been taking dry swings.
Kirby Yates (pectoral) will throw a bullpen session Wednesday.
Brad Boxberger locked down his 11th save of the season in Tuesday's 5-3 win over the Braves.
Steven Souza went 2-for-4 with an RBI, run scored and stolen base against the Braves on Tuesday.
Jake McGee earned his first hold of the season with a scoreless eighth inning against the Braves on Tuesday.
Asdrubal Cabrera hit his second home run of the season in Tuesday's win over the Braves.