Charlie Mulgrew says Celtic have answered some of their critics by showing their battling qualities in their last two games.
Celtic came back from a goal down to claim a Europa League point against Rennes on Thursday.
And Mulgrew fired the winner in Sunday's 2-1 win over Aberdeen.
"It gives you more belief to come back when the chips are down," said Mulgrew. "Maybe that's a question that has been asked of us a wee bit this year."
Victory over the Dons kept Celtic 10 points behind Scottish Premier League leaders Rangers, who have played a game more.
"We don't concentrate on the critics," the 25-year-old said.
"We just concentrate on ourselves and hopefully we can keep winning, no matter how we do it.
"It would be great to get performances but if we can go on a wee run now, that would be great.
"It was massive, as every game will be from now to the end of the season.
"There is always pressure to win every game and sometimes it's not always going to be pretty."
Mulgrew was speaking as Celtic announced a £10,000 donation to Poppy Scotland, through the club's charity fund.
The gesture follows controversy last year when some supporters held up a banner at Celtic Park declaring "no bloodstained poppy on our hoops" in protest at the symbol's incorporation in Remembrance Day jerseys worn by all 12 SPL sides.
Chief executive Peter Lawwell said: "As we approach Remembrance Sunday next month, we remember the victims on all sides of all conflicts.
"Many people from all walks of life have entered the services, and indeed, we all remember the contribution which so many Celtic players made during both world wars.
"We are pleased to make this donation which will hopefully assist many people in Scotland dealing with devastating injuries."