With new owners ALK Capital needing time to settle and assess following their recent takeover, it’s been a very quiet opening 21 days of the winter window for the Clarets.
However, in his Liverpool pre-match press conference on Wednesday, Dyche revealed the club are keeping their options open ahead of the deadline on Monday, February 1 at 11pm.
He said: "(We’re) still working behind the scenes to see if and when anything can be done, at the moment nothing to put out there, just waiting on maybes, but that's often the case, I'm used to that."
The 49-year-old then added: “So, we're still working in the market and keeping our options open to where we think a possible situation could arise.
"It's likely more things start happening later in the window, but we'll see."
The Express understands Bournemouth striker Josh King has been sounded out by the Clarets. The former Manchester United youngster is out of contract in the summer and eager to return to his native North West.
This is also reported by Football Insider, who added that West Ham, Aston Villa, Newcastle United, West Brom and Everton are also interested in the 29-year-old.
Whether a deal for the former Blackburn Rovers man could be concluded remains to be seen, with his wages outweighing Burnley' s top-earners.
Already this month, the Clarets have been linked to Derby County midfielder Jason Knight, Huddersfield Town's Lewis O'Brien, and Everton full-back Jonjoe Kenny.
Here’s a round-up of some of the other transfer rumours involving Burnley and their Premier League rivals this morning:
1. Wolves set to sign Jose
Wolves are closing in on the loan signing of Real Sociedad striker Willian Jose, which includes an option to buy at the end of the season. Completion of the deal could take until next week due to post-Brexit work permit rules. (Daily Telegraph) Photo: Juan Manuel Serrano Arce
2. Hammers prepare fresh En-Nesyri bid
West Ham United are preparing a fresh £32million offer for Sevilla forward Youssef En-Nesyri but the La Liga club want at least £35million with a higher fixed fee, paid up front and not in installments. (Daily Star) Photo: DAMIEN MEYER
3. Gunners make Odegaard approach
Arsenal have made an approach to sign Real Madrid attacking midfielder Martin Odegaard, though face strong competition from at least one other Premier League club and Real Sociedad, where he impressed on loan last season. (Sky Sports) Photo: JORGE GUERRERO
4. Man Utd join race for Brazilian wonderkid
Manchester United have made steps to beat Barcelona and Manchester City to the signing of Brazilian wonderkid Gabriel Veron. The Palmeiras forward has a £53million release clause but potential suitors could force their hand by offering around £18million. (Sport) Photo: Miguel Schincariol