The 31-year-old has seen his 2015-16 campaign hampered by a lack of fitness and form, with Baines only returning to first-team action in November following six months on the sidelines with an ankle injury.
However, the former Wigan Athletic defender has been unable to nail down that left-back position, with Bryan Oviedo establishing himself as Roberto Martinez's first choice on Merseyside in recent months.
With Luke Shaw set to miss Euro 2016, it is open season for all elite English left-backs to stake a claim, but Jenas claims that Baines is last in the pecking order, behind Kieran Gibbs, Danny Rose, Aaron Cresswell and Charlie Daniels.
"The Everton full-back has proved his undoubted quality for club and country over the years, and is our most experienced left-back with 30 caps, but he has had large periods out this season after getting injured early in the campaign," he wrote in his column for Yahoo.
"Even since he's been back, he has been chopped and changed with Bryan Oviedo in Roberto Martinez's defence. If you're looking at it purely on form, from the five players I've mentioned Baines would probably come last."
Baines started Saturday's 2-0 FA Cup quarter-final win over Chelsea, but it was his first start since the Capital One Cup defeat to Manchester City in January.
Oviedo was absent for the win last weekend.