The 23-year-old missed his fourth straight game, and Miami is 1-3 in those contests.
After the Marlins' 10-3 loss to the Nationals, Stanton said that he is going to test the shoulder on Tuesday by swinging a bat.
"I'm all right," Stanton said. "I'm going to swing a little bit [on Tuesday] and see where I'm at."
Stanton feels a pinch when he tries to bring his shoulder up and forward.
"It feels like it's compressed or pinched going up," he said. "So we'll just see."
In a best-case scenario, is Stanton is pain-free on Tuesday and, possibly, available for the second of three games with Washington.
If not, the team will weigh whether to place the 2012 All-Star on the disabled list.
"We're playing shorthanded," manager Mike Redmond said. "We can't play shorthanded for too long. It's too tough."
Stanton is off to a slow start, batting .167 in nine games, with no home runs or RBIs.
The Marlins did receive some good news on Monday, as Austin Kearns was discharged from University of Miami Hospital. Kearns was in the dugout for Monday's game but will undergo more tests before being cleared to resume baseball activities.
The 32-year-old complained of an elevated heartbeat on Sunday morning and was taken to the hospital, where he remained overnight for observation.
In the short-term, both outfielders will miss at least another couple of days. As with Stanton, the club has to decide whether Kearns will need to go on the disabled list.
Stanton jarred the shoulder making a diving catch on April 6. He continued to play regularly until Friday night, when he informed the team he felt a pinch.
Stanton took batting practice on Friday but was scratched from the lineup about 30 minutes before the first pitch against the Phillies. He was available to pinch-run on Sunday, and the hope was he would resume hitting on Monday.
Justin Ruggiano, who was scratched from the lineup on Saturday with a tight right groin, started in right field on Monday. He is much improved over a couple of days ago.
"We can't continue to play down two guys," Redmond said. "We have to have some healthy bodies."