Seamus Coleman, Dominic Calvert-Lewin and Beto could be available for selection when Everton take on Luton Town on Friday night (8pm BST kick-off).
The Blues head to Kenilworth Road looking to keep up their stunning momentum, after three home wins – over Nottingham Forest, Liverpool and Brentford – in the space of six days ensured Premier League safety and a 71st consecutive season in England’s top-flight.
Beto has missed the Toffees’ past two games with a concussion sustained in the match against Nottingham Forest but has now resumed full training and is in contention for a start against Luton.
After battling through illness and a minor knock to play and score a memorable goal in the Merseyside derby victory last week, Calvert-Lewin sat out Sunday’s 1-0 triumph over Brentford, but he – and teammate Coleman, who has missed the past three outings with a groin issue, took part in training on Wednesday.
Speaking in his pre-match press conference, Dyche said: “We’ll see [on Calvert-Lewin] – he was out on the grass today so we’re hopeful for no reaction and therefore he’d certainly be in consideration.
“Again [on Coleman] it’s his first day but he’s had a few days with the sport science team, so we’ll see how he fares tomorrow and see that there’s no reaction.
“Beto is clear and trained today.”
James Tarkowski was absent from training on Wednesday due to his partner expecting the birth of their child but is expected to be available for Friday’s game.
Meanwhile, Lewis Dobbin returned to action for Everton Under-21s on Monday, playing 65 minutes for the young Blues after recovering from an ankle injury.
On Dobbin being available selection for the senior side again, Dyche added: “It’s still early. He’s had around six weeks out and he played around 65 minutes the other day – I was at the game.
“We’d like to try to get him involved sooner rather than later. Just before he got injured he had a real chance of playing as we thought he was doing very well but, equally, we’ve got to be fair to him and his true fitness to deliver if and when he gets on the pitch.”
Vitalii Mykolenko will miss the remainder of the Premier League season after suffering ankle ligament damage against Liverpool, while Nathan Patterson also won’t feature again this term as he recovers from a hamstring injury sustained against Chelsea last month.
Dele remains unavailable as he continues his rehabilitation from a long-term groin issue.