Jason Gillespie has held two positive meetings with director of cricket Andrew Strauss over the England head coach vacancy.
"I've spoken to Andrew and the ECB about the vacant position," Yorkshire coach Gillespie told Sky Sports News.
"We had a good chat and we'll see what pans out from there."
Former Australia fast-bowler Gillespie led Yorkshire from Division Two to the 2014 County Championship title within three years.
He said he was one of several candidates in the frame for the England role.
Gillespie said: "They made it very clear they're chatting to a number of people of interest, so they'll let us know what the process is in due course."
Gillespie was appointed Yorkshire coach in 2011 and previously said he would "take persuading" to leave the job.
England caretaker-coach Paul Farbrace said on Wednesday he would find it "hard to say no" if he was offered the job on a permanent basis.