Spurs were well below par in their 2-0 defeat to Liverpool at the weekend, Jurgen Klopp’s side frequently cutting apart a usually watertight defence thanks to their breath-taking combination of rapid pace and innate technical ability.
Sadio Mane might have netted twice inside the space of two minutes to effectively bring down the axe on any lingering title hopes, but Mills believes another member of Klopp’s squad would take Tottenham to another level.
"Tottenham, I feel, are just a little bit too rigid, especially against some of the bigger teams that defend better," the former England international said in quotes reported by the International Business Times.
"Do they have enough, do they have a second option?
"They have a certain way of playing but they don't have anybody to come off the bench and change things when required. Tottenham don't have someone with blistering pace, or a dribble, or a [Philippe] Coutinho style of player."
He may have a point. Mauricio Pochettino possesses one of the strongest starting XIs in the league, with Christian Eriksen (below), Dele Alli and Harry Kane, plus Heung Min-Son or Erik Lamela, all capable of scoring or creating in equal measure.
For the most part, however, the aforementioned quintet lack Coutinho’s unique ability to slalom through the tightest of midfield blockades or pick out a runner with a deceptive, perfectly weighted pass steeped in subtlety.
Furthermore, Moussa Sissoko and Georges-Kevin N’Koudou, the unimpressive summer signings, rely more on their physical rather than technical attributes.
Spurs thrive against opponents that allow space in midfield while they remain arguably the most lethal counter attacking side in the division.
However, as frustrating recent fixtures against Sunderland and Middlesbrough attest, they lack the incision to break down deep-lying, disciplined defences.
A player of Coutinho’s ilk would go some way to solving the problem.