The tweet was seen as a swipe at his manager, but under-pressure Sherwood insisted he had no problem with the Brazilian.
"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."
Sherwood stressed the 25-year-old remained in his plans, and could work his way back into the squad before the end of the season.
Speaking about upcoming matches against West Ham and Stoke, Sherwood said: "We might look for some different qualities in there.
"But for today's game he's not in the squad and he's not selected.
"I really don't have a problem with him
He's a good lad
I don't have any problem with anything he's got to say
He's not being disrespectful to me, I don't think."
Sherwood was also left playing down a heated discussion between Spurs coach Tony Parks and defender Danny Rose towards the end of the match.
Asked about the incident afterwards, Sherwood said: "It was an altercation regarding who was marking who
I think they made a substitution and Danny was a little bit unclear on who he had to mark because the player he was assigned to had already gone off.
"It was a little miscommunication
Tony told him, he was told, and that was it.
"I'm all for that, because it shows they both care and they both want the same
They're shaking hands in there and there's not a problem with that."
Spurs looked on course for a routine victory when Paulinho converted Christian Eriksen's cross before the break, but were pegged back immediately by Steve Sidwell's composed finish.
Harry Kane restored Tottenham's lead early in the second half before another Eriksen set-piece presented captain Younes Kaboul with an easy finish for the third.
There was a late scare when Fulham earned a penalty from an Eriksen handball, but Hugo Lloris beat away Sidwell's spot-kick.
The triumph kept alive Spurs' hopes of European football next season, but was unlikely to dampen any rumours regarding Sherwood's position as manager.
When asked about his future, he said: "It's been five-and-a-half months since I've been in the job and it's never gone away
I'm always fending off the same questions.
"It's not ideal, but it's an environment that's been created and it's a great honour to manage this football club
I just have to be professional and try and prepare them to win football matches as best as I possibly can."
For Fulham, the defeat halted any momentum built up by back-to-back wins against relegation rivals Aston Villa and Norwich, as they remain in the Premier League relegation zone.
Manager Felix Magath was left bemoaning the qualities of Spurs goalkeeper Lloris, who also pulled off a fine reflex save from a Hugo Rodallega header to add to his penalty heroics, and his side's poor defending from set-pieces.
Magath said: "Tottenham played very well and they have a good goalkeeper who saved two or three very good chances against us.
"We didn't play badly, but the thing that was not so good was that they got two goals from free-kicks.
"That is too easy
I told the boys we have to work on it, because if we make it better in the next games I think we are able to stay up and win our home games."
Magath admits he had not expected his side to take anything from the match at White Hart Lane, and believes the games at Craven Cottage against Hull and Crystal Palace will decide their fate.
"It would be better if we got one or three points today, but we are not expecting to win here at Tottenham," said the German.
"So we are relying on our home games, and that might be enough to stay in the league."
Source : PA
Source: PA