Former Premier League midfielder and BBC Sport pundit Andy Townsend has urged Unsworth to play Wayne Rooney and drop Dominic Calvert-Lewin against West Ham on Wednesday.
The Toffees are still searching for a permanent manager after Ronald Koeman was sacked last month.
David Unsworth is currently in caretaker charge, but has lost five of his first seven matches, increasing the pressure on the club’s owners appoint a full-time boss as soon as possible.
Everton face West Ham United in a crucial Premier League clash Goodison Park on Wednesday evening.
Townsend urged Unsworth to select his strongest possible line-up.
“This game against West Ham is so massive,” Townsend told BBC Radio 5 Live’s The Monday Night Club (27/11, 19:30pm).
“It’s not rocket science – you put your most experienced boys in there, you play Wayne Rooney.
“Listen, Dominic Calvert-Lewin, there will be a time and a place for him – it might not be Wednesday night.
“Can you imagine if West Ham go out there and score in the first 10 minutes at Goodison? It’s not for the fainthearted that I’m telling you, you need your most experienced boys there.”
Unsworth has given some of Everton’s younger players a chance this season, including 20-year-old striker Calvert-Lewin, but Townsend insisted it would be a mistake to do so against the Hammers.
The pundit went on to say that former England boss Sam Allardyce, who is currently the leading contender to become the next Toffees boss, would definitely play his senior players, including Wayne Rooney.
Rooney hasn’t featured in the last two Premier League games for Everton, while Calvert-Lewin has played in all 13 games.
The Hammers are currently 18th in the Premier League table and are without a win in their last six matches, but they will move above the Toffees with a victory.
In other Everton news, Gary Lineker has revealed his view on the club’s season so far.