United were the better team in Monday night’s eagerly-anticipated encounter with Jose Mourinho’s Blues, who rarely troubled David De Gea in the home goal.
But unlike the previous week at Swansea, the Reds did not create an abundance of chances either and Jones says that’s one area to work on in the build-up to the second big clash of the week at Anfield.
The defender told ManUtd.com and PA Sport: "We wanted to win but it wasn’t to be. We played alright but we were lacking the cutting edge in the final third.
"But we’ve got the clean sheet and I thought we looked solid defensively as a unit – not just the back four but collectively it was sound and solid.
"It was probably just in the final third where we didn’t find enough. Wazza [Wayne Rooney] had a few long-range efforts and we could have had a penalty shout in the final 10 minutes for handball."
Jones, who "soldiered on" with a stiff back for 30 minutes after an aerial challenge with Ashley Cole in the first half, says the players are working well with David Moyes.