ST. PETERSBURG, Fla. -- The St. Louis Cardinals are pitching so well all they need right now to win is one run.
The Cardinals have three consecutive shutouts for the first time since April 2013. St. Louis, with 13 shutouts this season, was coming off 5-0 victories over Toronto on Saturday and Sunday.
''Our starting pitching has been extremely good these last few, to say the least,'' St. Louis manager Mike Matheny said.
It is the Cardinals' first stretch of three consecutive road shutouts since Sept. 29, 1962-April 10, 1963 when St. Louis had four in a row.
''Pretty amazing,'' said St. Louis slugger Matt Holliday, who homered.
Tampa Bay has been shut out an AL-leading 10 times this season. The Rays, who have lost 14 of 15, have not scored a run in a club-record 28 innings.
''It's kind of weird to watch because it just doesn't stay that negative for that long normally,'' Rays manager Joe Maddon said. ''It just doesn't but it has. This is truly one of those anomaly moments where we've got to stick together as a group.''
Holliday put the Cardinals up 1-0 with his fourth homer this season, a long drive to left center with two outs in the sixth off tough-luck loser Jake Odorizzi (2-7).
Holliday and Kolten Wong both returned to the Cardinals lineup. Holliday was scratched Sunday due to a sore lower back, while Wong sat out three games with left shoulder soreness.
Holliday said his back is still a little stiff.
''Loosened up enough so I could get some good swings,'' he said.
Odorizzi, a Cardinals' fan who grew up about 30 miles from Busch Stadium, had a strong performance in his first game against St. Louis. The right-hander gave up one run and three hits in a career-high 7 1/3 innings.
''Today I felt I was really executing my pitches and nothing they could do was going to beat me,'' Odorizzi said. ''One mistake by me and I got beat. It was the best outing I've ever had in the big leagues.''
Odorizzi had allowed one baserunner, a fourth-inning walk to Holliday, before giving up consecutive two-out singles in the fifth to Jhonny Peralta and John Jay. The inning ended on a fly ball by Peter Bourjos.
''It's a tough lineup, it really is,'' Wainwright said. ''They're going through a funk, I know. As soon as we leave town, they're going to break out. I've got a feeling.''
Sam Freeman inherited two runners and then got two key outs in the eighth before Rosenthal replaced him.
Former Cardinals manager and Tampa native Tony La Russa will throw the ceremonial first pitch before the finale of the two-game interleague series Wednesday night. La Russa will be inducted into baseball's Hall of Fame on July 27. ... Tampa Bay C Ryan Hanigan (right hamstring tightness) will be activated from the 15-day DL on Wednesday. To make room on the roster, C Ali Solis was optioned to Triple-A Durham. ... The Rays signed 2014 first-round draft pick Casey Gillaspie, a 1B out of Wichita State. ... St. Louis 1B Matt Adams (strained left calf) has started a rehab assignment with Triple-A Memphis. ... This was the third time that Tampa Bay C Jose Molina and his brother, Cardinals C Yadier Molina, have played against each other in the majors. ... Rays LHP Erik Bedard (3-4) and St Louis RHP Michael Wacha (4-4) are Wednesday's scheduled starters.