Cosslett has been encouraged by the victorious end to the June tour of South Africa, despite England’s earlier poor performances which came under heavy scrutiny.
The RFU chief has however noted that the association would be willing to act by making a change to the coaching set-up at any point before next year’s World Cup, if such a move was deemed necessary.
Cosslett has stopped short of guaranteeing Jones will remain England’s head coach by the time the Japan 2019 tournament arrives.
“Things happen at the most inconvenient time – that’s what life does. There is no time limit and you make decisions on the basis of the evidence or information you have at any given moment,” Cosslett said.
“Hopefully we won’t have to face that and we will have a run through to the World Cup.
“We have shown a lot of confidence in Eddie and we think he is still the man, but we will see where it goes to from here in terms of the next few months.
“You’re asking for unconditional support but only my children get that. And even then not always!
“It’s not something you give because you’re under assessment the whole time. It’s just not what we do.
“Eddie has earned the right to make a strong case for the way ahead. We’ll listen to his review of the tour and it will be fascinating to hear what he’s got to say.
“Eddie came to our union when it was at its lowest ebb after the World Cup. He grabbed it and took us on this extraordinary run.”