Robbie Brady returned to action alongside Steven Defour on Thursday afternoon as the Clarets received a welcome injury boost.
The Irish winger took part in an in-house game alongside Belgian midfielder Defour, who stepped up his own recovery earlier this week with a run-out with the U23s.
And Dyche insisted he is delighted with the progress being made by the pair, as they close in on a return to the squad.
“Steven is going well. He is getting stronger and won’t be involved with the first team, yet, but he is closer and we had a little in-house game today for him and Robbie,” explained the gaffer.
“Steven has been going along nicely in full training for a couple of weeks with the first team. We have to remind ourselves that he’s been out a long time, but he’s looking strong, mentally as well as physically, and he’s in a good place at the moment.
“Robbie is not far behind and we are looking forward to having them both back.”
Brady was back in action for the first time since pre-season, following a serious knee injury sustained at Leicester last December.
Neither player will be involved in the squad to face Bournemouth at Turf Moor this weekend, alongside Ben Gibson, who underwent minor surgery on a hernia problem on Thursday that is expected to rule the defender out for only a few weeks.
And following four straight league defeats, Dyche insists he is looking for his side to rediscover the DNA that made them a Premier League force last season.
He said: “I thought, and expected us to do better, but I can assure you records don’t bother me because if you look at all the positive records we’ve achieved in the last five years, I think you’ll find that outweighs the negatives.
“I don’t worry about that. I concern myself with the team and whether it’s moving forwards and lately there have been a couple of performances that haven’t been like us.
“It’s not a lack of effort, but that’s the thing that I’ve been speaking to the players about because you have to have a DNA and we have kind of come away from that.
“We definitely have to work hard to get back to that as a minimum, and then once we do that you are looking at the consistency to go and win games.”