Ronald Koeman will face yet more difficult questions at Everton after Jeff Hendrick bolstered Burnley's impressive away record with the winner at Goodison Park.
Republic of Ireland international Hendrick was on the end of a sweeping move as the Clarets' 1-0 win was added to a collection of positive road results already featuring a victory at Chelsea and draws at Tottenham and Liverpool.
Hendrick easily side-stepped Morgan Schneiderlin in the penalty area to slide home a low shot after Scott Arfield and Stephen Ward combined down the left towards the end of a 24-pass move bettered only in numbers by Pep Guardiola's Manchester City this season.
The defeat plunged Everton straight back into a crisis, with last weekend's win over Bournemouth - their only league victory since the opening day of the season - a distant memory as four league defeats in five matches have left manager Koeman's side just two points above the bottom three.
Koeman is now the odds-on favourite at 8/11 with Sky Bet to be the next Premier League manager to leave his job. That's in from evens before kick-off.
West Ham boss Slaven Bilic is the 4/1 second-favourite to depart next.
David Unsworth is the 8/1 favourite with Sky Bet to replace Koeman if the Dutchman does leave Goodison Park.
Bournemouth boss Eddie Howe is a 10/1 contender to take charge of the Toffees.
Reaction
Everton manager Ronald Koeman says he was not unhappy with what he saw from the team.
He told Sky Sports: "I'm not unhappy what I saw from the team, they showed today how we had to play.
"If you play against a team who are defending so strong you need to be at your best. We didn't have that creativity."
Clarets boss Sean Dyche said: "I'm very pleased. I know there's a bit of noise round here about how they're playing but there are still some very good players (in the Everton squad).
"We had a soft start for 10-15 minutes, then scored a fantastic goal.
"I've spoken about the flexibility of the side. We can play when we need to, and be longer and stronger when we have to - but we can defend too. It's about finding that mixture."
