United have won four and drawn three of their WSL games this season and are currently sitting fifth in the table, six points off leaders Chelsea, who they face on Sunday (12:00 GMT kick-off).
But it was the run of three successive draws against Brighton, Arsenal and Aston Villa that increased scrutiny of Skinner.
Despite keeping five clean sheets in seven WSL matches, United have lacked ruthlessness at the other end of the pitch, scoring just 11 goals - fewer than five teams in the WSL and less than half the tally of Sunday's opponents Chelsea.
One of the reasons for this, according to Skinner, was the relatively "new team" he said he is working with this season.
Summer signings Dominique Janssen, Celin Bizet and Elisabeth Terland have become regular starters, while midfielder Grace Clinton - who spent last season on loan at Tottenham - and goalkeeper Phallon Tullis-Joyce have come into the side.
Skinner believes that provides context as to why United have not been firing on all cylinders but his comments did not go down well with supporters.
"He has said some odd things. Sometimes he gets himself into a muddle. Sometimes I think he says too much," former England striker Ellen White, who played under Skinner at Birmingham City, told BBC Radio 5 Live.
"He is an absolutely phenomenal coach - in terms of my development, one-to-one stuff and on the pitch.
"Maybe the managerial and communication side, he is lacking slightly in that understanding."
Ex-Arsenal striker Ian Wright said he was "pleased" to see United fans "pull him up" on those comments and that he disagrees with Skinner.
Speaking on the podcast Crossways, Wright said: "What he [Skinner] is saying, in respect of new players - he's had this team for long enough now.
"They should be doing a lot better. You listen to that interview [after the 0-0 draw with Villa] and there was no plan B, no real structure of what they were doing.
"They were playing against a Villa side that were bottom of the league and he's talking about how they got a good result at home.
"This is why I was quite pleased to see Manchester United fans pull him up about the interview."