Dawson missed Spurs' 2-1 defeat at Goodison Park after pulling his hamstring against Fulham at the start of the month, but he looks likely to be available for Sunday's Barclays Premier League home game against Swansea.
The manner of the defeat on Merseyside, where Everton scored two last-gasp goals, caused great frustration within the Tottenham camp, but Dawson is sure his team can respond with a win over the Swans.
"It's always tough against Swansea, but we have to pick ourselves up after the Everton defeat," Dawson told Tottenham's official website.
"We'd been on a brilliant run with brilliant performances and that was a little setback.
"But we will pick ourselves up and try to get back to winning ways back at White Hart Lane. We're confident we can beat anyone at home."
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- Barclays Premier League