Speaking ahead of Saturday's trip to Southampton, the English manager played down speculation linking him to Goodison Park, where Ronald Koeman was sacked last month after a disappointing start to the campaign.
"I just keep getting on with my job -- the same as I did last week, the same as I did the week before," Dyche told a news conference on Thursday.
"You can probably show the press conference from last week if we keep going down that question."
When asked whether he needed to discuss the Everton situation with his players, Dyche replied: "No, because you (the media) do it all for them. You cover every inch of everyone who's ever been linked in the history of every club, so they read that."
Burnley have collected eight points on the road this season, including victories at Chelsea and Everton.
Having managed only seven points away in the whole of the 2016-17 campaign, Dyche is relishing the improvement but keen to keep his squad grounded.
"It is early on in the season, well relatively early," he added. "We don't think we're the real deal but equally I've said I think we're moving forwards and I think we are.
"The games are tight but we've come out the right side when we've needed to and got the points when we've needed to. (In) very tough games, as they all are. So it's very pleasing overall.”
Dyche confirmed striker Chris Wood has trained with the first-team and was available for selection after missing the Newcastle clash with a hamstring injury.
(Reporting by Hardik Vyas in Bengaluru; Editing by Toby Davis)
