Messi has not played since he was forced off in the first half of a 4-2 win over Sevilla on October 20, but Valverde included him in the party that travelled to Milan to face Inter in the Champions League.
The voting processes ends on Friday, but claims have been made that Messi believes a final match-winning performance could sway the award in his favour.
They sit three points ahead of the Italians at the top of Group B having won each of their three fixtures.
Suarez scored a hat-trick in last weekend's 5-1 thumping of bitter rivals Real Madrid and the Uruguayan concedes that Barca may have have underestimated their struggling opponents, who remain 19th.
He added: "The other day [vs Rayo] we started the game very well, but then it was hard for us to play as we did in the previous matches". But wins, in any form, can not be overlooked.
The defending champions got to the scoresheet when Luis Suarez scored from Jordi Alba's cutback eleven minutes into the match. More than anything because he is one more [player] and so we have more to choose from.
Luis Enrique is yet to pick him for Spain but it would be hard to justify ignoring the full-back again when the next squad is announced later this week.
"They have a team mentality that goes beyond just Messi". "Under the new coach I'm not being picked but I'm working on it".
Instead, the more diligent Rafinha was named in the starting line-up at home to Inter last month and the Brazilian justified Ernesto Valverde's faith by scoring the opener against the same club he played for on loan only five months ago.
"We play with a certain amount of risk, as Barca have always done, but we also want the opposition not to score many", Valverde said when asked if he was concerned about the amount of chances his side are giving up.