Outgoing Football Association chairman Greg Dyke says England can win UEFA Euro 2016 and he expects manager Roy Hodgson to be offered a new contract.

England meets Iceland in the Round of 16 on Tuesday (AEST) having finished second to Wales in Group B.

Hodgson's team selection for England's goalless draw with Slovakia in its final group fixture came in for considerable criticism, and failure to see off minnow Iceland would only add to the pressure.

But Dyke, who will stand down from his position in July, is confident Hodgson can take England a long way into the tournament.

"Now I think Roy is doing a great job, we're very supportive of him and I personally have always been very supportive of him," Dyke said.

"I think he's a really good bloke and I believe we will go on and do really well in this tournament and he will get a new contract.

"I think we can win the tournament. I think we have played quite well. What we need to do is start meeting some teams that are a bit more attacking as that gives us some room." 

The winner of Tuesday's (AEST) fixture in Nice will meet France or Republic of Ireland in the quarter-finals.