The club hasn't accomplished the feat since it took six straight games from the Cardinals and Cubs between Aug. 29 and Sept. 3, 2008.
Houston will look to put an end to that drought when it hosts the Cardinals on Sunday after sweeping the Mets earlier this week and taking the first two games of the weekend set against St. Louis.
On the hill for the Astros will be J.A. Happ, who will be trying to end a negative streak as well on Sunday. In eight career starts against the Cardinals, Happ is 1-6 with a 6.44 ERA over 43.1 innings.
In his last start this season he beat the Mets by allowing three earned runs on six hits through 6 1/3 innings. The team improved to 3-2 in games started by Happ, who has struck out 31 in 29 1/3 innings.
"I feel good, and I felt probably better than the results maybe," Happ said after the game. "I'm just trying to keep going with that as long as I can. Compared to last year, it's a good stretch."
Facing off against him will be Cardinals right-hander Adam Wainwright. While Happ has struggled his entire career with St. Louis, Wainwright has dominated the Astros.
In 17 career appearances against Houston, he is 9-1 with a 1.56 ERA. Furthermore, Wainwright has thrown 24 consecutive scoreless innings versus the Astros, dating back three games.
On Tuesday, however, Wainwright delivered a subpar outing against the Pirates, allowing four runs in a season-high seven innings. Fortunately for him, the Cardinals offense put up double-digit runs in a 10-7 victory.
"I think if you look at 90 percent of my game, it was pretty good," Wainwright said. "It's good to get a win, but I've got a long ways to go. I'm more concerned with the quality of my pitches and the execution during the game."
Astros: Weiland talks shoulder surgery
Kyle Weiland met with reporters Saturday for the first time since undergoing surgery on Tuesday to clear up an infection in his right shoulder.
"They jumped on it right away and went in there to flush it out and get as much of the infection out as they could, and they have me on a heavy dose of antibiotics," he said. "As of right now, everything is going according to plan. We'll keep monitoring it and make sure it's not coming back so I can get back as soon as I can."
Weiland was acquired in December in a trade with the Red Sox and went 0-2 with a 6.62 ERA in three starts this year before going down.
Cardinals: Descalso gets start at second
Despite Skip Schumaker reaching base three times on Friday, Daniel Descalso got the start at second base on Saturday against Houston.
"We've got to keep those three [Descalso, Schumaker and Tyler Greene], somehow everybody, sharp," said Cardinals manager Mike Matheny. "We're going to have to be pretty creative. All three of them are going to have to see time. We've just got to figure the right spots to get them in there."
Matheny said he had no game plan for the trio in regards to naming a set starter at the position.
"I think we're just going to evaluate every day what we see," Matheny said. "I think it also helps to keep all of them sharp. Otherwise you're going to throw one guy out there, and two of them are just going to sit."
The Cardinals have scored in the opening inning in each of their last five games for nine runs total.
Astros hitters have combined for 100 walks this season through just 28 games. In 2011, the Astros were last in the Majors in walks with 401 in 162 games.