The 45-year-old has endured something of a roller coaster ride since being appointed to his first senior role when taking over from Andre-Villas Boas in December.
Sherwood was appointed on an 18-month deal by Spurs chairman Daniel Levy and has not been afraid to speak his mind on the struggle for consistency, publicly criticising his players after the 4-0 thrashing at Chelsea.
However, the reality is Sunday's 1-0 home defeat to Arsenal in the north London derby leaves Spurs all-but out of the fight to secure a top four finish, and with it another shot at Champions League football.
Sherwood has also had to deal with continued rumours about his future, that the board were ready to wield the axe again and bring in respected Holland coach Louis van Gaal after the World Cup.
However, Rose sees no reason to make another change in the dugout.
"We want the fans and everyone to stick by us and we would like a bit of continuity with the manager, and we all be fighting to put it right for the top four maybe next season," said the 23-year-old full-back, who played in the Tottenham Academy and reserves sides where Sherwood cut his teeth as a coach.
"As players we know as much as you about what's going to happen with the manager, but you look at the best teams, they do well when they have a manager to work with for a long time.
"We will have to wait and see what happens, but everyone loves Tim and the coaching staff."
Rose joined Spurs as a raw talent from Leeds in July 2007.
The England under-21 international had loan spells at the likes of Watford, Peterborough, Bristol City and Sunderland before finally breaking into the first-team squad on a regular basis this season.
The defender is in no doubt of the depth of feeling Sherwood commands throughout the club.
"Tim is passionate, he loves the club. He knows it from top to bottom, from the first team down to the Under-9s," Rose added.
"You know he will give 100 per cent for the club.
"He has played for the club, he knows what the games are about and what the fans expect from the team.
"It has been great working for him. I have known him for a long time and if it wasn't for him, I am not sure where I would be playing right now.
"He has helped me change my Tottenham career around, so I have got a lot to thank him for."