Remi Garde’s men are rooted at the bottom of the standings with ten games to salvage their top-flight status. They are eight points adrift and have won just two league games since Sherwood was sacked in October.
Tuesday’s 3-1 loss at home to Everton saw many fans leave early in protest and Sherwood believes they – the ‘best fans’ he has ever worked with – should continue to back the team.
He told Drivetime: “It was sad to see but I don’t think they can throw the towel in, I really don’t.
“Any team in the Premier League can go six, seven, eight games without winning, everyone is capable of doing that – we’ve seen the champions [Chelsea] do that. If they string two or three games together, I think they need to be optimistic.
“If they can get one, then back-to-back wins – [Last season] we went to the Lane [White Hart Lane], we beat Everton and the complexion of the table just changed.
“They have to believe they can do it, let’s not start looking around with the blame game, they need to stick together and get that first result on the board and then build on that. Some of the clubs above them are in freefall.
“Those fans – they are the best I have ever worked with. They pulled us through last season.
“When I went there was 13 games left and it didn’t look good for us. Without them we wouldn’t have got what we got.
“To lose a lot of experience and players like [Christian] Benteke for instance, who scored 67% of the goals last year, it was a major blow and he was going to be very difficult to replace.
“For me, Tottenham have got it right on and off the pitch and that is down to their recruitment.”
That recruitment has seen a lot of the summer signings heavily criticised, followed by a January window of no additions for former Lyon boss Garde.
Speaking of his involvement in signings, which consisted of the likes of Micah Richards, Scott Sinclair, Joleon Lescott and Rudy Gestede, Sherwood added: “There is a process a lot of clubs are going through at the moment which is pretty similar.
“I had a hand in it, you have a long list of players you want to bring in and some you are able to do, some you are not. In the end you have to work with what you have got and you have to get the best out of them.”