The former Newcastle United star is very disappointed indeed with the stand-in skipper's actions against Liverpool.
Sissoko was pictured (right) grappling with Reds right-back Glen Johnson but that wasn't his main offence at Anfield.
Indeed, the stand-in Newcastle skipper lunged in dangerously at midfielder Lucas Leiva, earning himself a second yellow card that could quite easily have been a straight red.
He is now suspended, with Solano branding his actions 'stupid' - and he feels a worthy captain like Shearer would never have done anything of the sort.
It is that kind of a lack of leadership that bothers the former Newcastle star most, along with many others.
Solano said: "I just hope the players refrain from doing stupid things like Moussa Sissoko against Liverpool.
"He was lucky he did not cause Lucas permanent damage. You would never see Alan Shearer do that when wearing the captain’s armband.
"The message has to be strong from the leaders and even when the team doesn’t play well you can’t set that example."
The Magpies host Tottenham Hotspur at St James' Park on Sunday afternoon, although it remains to be seen just how many Newcastle fans will turn up to watch the event.
A mass boycott of the game has been proposed by supporters and Solano sympathises with their cause. John Carver's men have lost their last five Premier League games in a row. Is there any chance of that woeful run ending on Sunday?
More pertinently, who will be there to see it happen?