"We will challenge for the title next season if we carry on how we are now", said the 26-year-old.
Finally, unlike Ince, Solskjaer is a legendary figure at the club and is revered by all United fans who remember that fateful day when the baby-faced assassin scored the victor in the Champions League final and secured us the treble.
"I am delighted to have signed a new contract", Jones said.
Jones joined United from Blackburn Rovers as a 19-year-old for a reported £17 million in 2011, having shown real promise at the club whose academy he came through.
"As long as we're winning games, that's all that matters".
The England defender has suffered injury problems and dips in form in his time at Old Trafford but played in all 10 of Ole Gunnar Solskjaer's unbeaten matches since the Norwegian took caretaker charge.
The Norwegian has helped United go within two points of the top four while also reviving a free-flowing style of soccer that had gone missing under Mourinho.
Speaking about the interim boss, he added: "He [Solskjaer] is a coach with great values".
"I'd describe the period (at United) as really enriching for me as a person and a footballer".
"He's given me lots of advice".
Valencia has never been too far away from the treatment table in the post-Fergie era, such is the Ecuadorian's bullish style at right-back.
"We have a laugh among ourselves quite often because I think finishing is something that comes naturally to me".
But the Everton fans who saw Rooney toil through last season as he dropped deeper into midfield may disagree with his confident assertion. "I hope it continues into the future and let's hope that together, we can win trophies and silverware". "If you look at the players, the age of them, they're young and they've got plenty of development in them".