The Brazilian, who has been one of Spurs' best players in a trying season, has missed Tottenham's last five matches following the Europa League second leg against Benfica on March 20.
He tweeted: "Good morning guys, just to let you know that I'm not injured!"
And after the 3-1 win over Fulham, boss Sherwood told reporters that Sandro - who is hugely popular among Spurs fans - was dropped because he lacks the quality to even feature on he bench.
"I don't care about the tweet," the Spurs head coach said after the victory. "I don't go on Twitter. He can tweet what he wants.
"I like Sandro's qualities, but in my eyes it wasn't right to put him in the squad - other people are ahead of him.
"I think Nacer Chadli's done well in there and I think Paulinho's done well in there.
"At the end of the day you always get an honest opinion from me and he's right what he's tweeting - he's not telling any lies.
"He's not injured, and he's fit to play, but he's not selected because he's not up to it at the moment ahead of other people."
Sandro appeared to respond to the comments somewhat cryptically, simply Tweeting 'Lol lol lol ....'
Sherwood's latest statement seems at odds with his previous views regarding the player, and hint at a falling out.
Last month Sandro revealed Sherwood held an angry meeting with the squad after a 4-0 defeat to Chelsea. At the same time Sherwood praised the 25-year-old's leadership.
He said: "Sandro is obviously the leader. He's a great example of that. He leads on the pitch. If you asked any Tottenham fan which player gives their all every single game on pitch, Sandro would be first."
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- Nacer Chadli