It's a matter of results. If he can mastermind a run of decent results then he will, by definition, have started to turn things around.
Problem is the upcoming fixture list. We NEED to put a run of wins together, but we have City and the Norwegians as two of our next four games and they're both coming to Goodison. Lose either one of those badly and all momentum is lost. That's ignoring the fact that we'd need two wins against Brighton and Stoke to start building any momentum in the first place!
Home v Brighton
Away at Stoke
Home v City
Home v RS
Away at Swansea
Home v Newcastle
Away at Huddersfield
Home v Southampton
Away at West Ham
Six of those teams are below us in the table (as of 6th March) and Brighton are only above us on goal difference. If Sam can somehow get our expensive squad of (mostly) cowards to start putting in some performances, then there's hope. But that is a massive and pretty unlikely "if".