The Barcelona forward feels that is "almost impossible" for the Catalans to claim the league title, as they sit four points behind their rivals with just two games remaining.
He told Diario Sport: "If you have to be honest, the league is almost impossible."
Barca have stuttered since La Liga resumed amid the coronavirus pandemic and Suarez believes dropped points against Sevilla, Celta Vigo and Atletico Madrid have cost them a third straight league title.
The Uruguayan forward said: 'It is clear that the game against Sevilla [a goalless draw] is a game that makes things very difficult for you. We had options to get ahead.
"That day was important but in Vigo [a 2-2 draw] it was key. We lost our great opportunity.
'If we had beaten Celta, we would have been better off against Atletico. The blow was in Vigo, the goal in the last minute from [Iago] Aspas. It hurt."
Suarez urged Barcelona to focus on fighting for the Champions League title, with the campaign set to conclude in August.
The 33-year-old striker said: "Now, for our pride and for the prestige of Barca, we have to win the two remaining games and then focus squarely on the title we can fight for, which is the Champions League.
"If those of us on the team can perform at the level of why we are in this club, we can beat anyone. A failure in a match can be expensive.
"That is why we have to be very vigilant and we need everyone to be able to get the Champions League."