Everton went into the break 2-1 ahead at Turf Moor on Wednesday night and were looking good to secure a rare Premier League away win for the club this season.
But Burnley came out firing and scored twice to seal all three points from a game that they won 3-2 at the end.
Everton find themselves in dire straits and are now just a point above Burnley and the relegation zone at the moment.
Dyche revealed that he told his Burnley players during the break that Everton were there for the taking given their poor record away from home.
Osman stressed that it is a major indictment of Everton’s issues that an opposition manager did not think that they had it in them to see out the result despite being ahead at half-time.
The former Everton star said on Premier League TV post match: “I was worried before the game but that has gone through the roof right now.
“Even Sean Dyche mentioned it in his interview that his team talk at half-time was ‘lads we are behind, we are doing okay but these don’t know how to win away from home so let’s get out there and put them under pressure because they don’t know how to get over the line’.
“That showed how easy for the opposition manager to say these can’t win, go out there and they will fall apart.
“And that’s basically what you saw from Everton in the second half.”
Everton have won just two of their last 12 games and have lost all of their away matches under Frank Lampard.
