The Blues have won just twice in two months in all competitions, a sequence that has left them languishing in 16th place in the Premier League and placed particular importance on tomorrow evening's clash with Lyon in the Europa League.
The Dutchman was asked during his pre-match press conference this afternoon about the visit by major shareholder Farhad Moshiri to USM Finch Farm a few days ago, one which caught the attention of observers given the scrutiny of Koeman's performance as head coach.
Moshiri and Chairman Bill Kenwright made the rare trip to the club's Halewood training complex to mark it's 10th anniversary and to take a look at the new facilities that have recently been completed.
Discussions were had with Koeman about the first-team's performance but Moshiri's position is not believed to have changed despite last Sunday's disappointing 1-1 draw at Brighton & Hove Albion.
“Yes, he was here but it was not only Farhad Moshiri,” Koeman said. “It was Bill Kenwright as well and more people from the Board because they hadn't seen the new building.
“We spoke about football. There was not really a message but the feeling is they are behind the team, they are behind the manager.
"Everybody knows in football that's a nice thing but in football always, finally, it's all about results. Until now it's full, total support from the board, yes."
Koeman was asked during his presser about his feelings about the security of his position following Leicester City's decision to sack Craig Shakespeare after just eight Premier League games.
The Foxes sit just two places and two points behind Everton in the table but it was not good enough for their Thai owners who dismissed Claudio Ranieri's successor yesterday.
“Maybe I am [already] in the crisis”, Koeman said after being asked to comment on Shakespeare's assertion that top-flight managers are just four games away from a crisis these days. “But, okay, everybody knows that the manager's job is a really difficult job because things change really fast.
“We know that most of the time the manager doesn't really get the time to improve the team. I feel sorry for Craig because I think he did a really good job taking over from Ranieri and he kept them in the Premier League last season.
“But it's football, it's hard to take for the managers but it's part of the job.”