SANTA CLARA — The 49ers are about as healthy as can be hoped for as they prepare for the NFC Championship game despite three straight high-stakes games in which they expended untold emotion and energy.

On Tuesday, cornerback Carlos Rogers and fullback Will Tukuafu sounded optimistic about returning from recent injuries in time for Sunday’s NFC title game against the Seattle Seahawks.

“I think I’m going (to play),” Rogers said during media access Tuesday. “It depends how practice goes and if there’s no setbacks.”

Rogers suffered a hamstring injury in the 49ers’ regular-season finale against the Arizona Cardinals and missed the 49ers’ first two playoff games.

The first hurdle for Rogers is showing that his hamstring has healed enough so that he can practice. His first shot comes Wednesday, when the 49ers go through their first full-blown practice.

Defensive coordinator Vic Fangio said last week that Rogers needs to practice at some point during the run-up to a game if he’s going to be cleared to play in that week’s game.

Rogers has not practiced the past two weeks. However, he said that he is running more now than he did since his injury.

Tukuafu suffered a left knee injury early in Sunday’s game against the Carolina Panthers. Coach Jim Harbaugh said Tukuafu underwent an MRI on Monday, though the team has not revealed the results.

“I’m here walking around and getting ready for the game,” Tukuafu said Tuesday. “It’s day-to-day.”

Tukuafu seemed to be moving without any lingering effects from the injury he suffered while being tackled after a short reception. He refused to confirm whether the injury is a medial collateral sprain, as reported.

Beyond that, the 49ers figure to be at or near full strength for the Seahawks game, with a berth in the Super Bowl at stake.

That qualifies as impressive, given the 49ers played three road games during a two-week span against the Cardinals, the Green Bay Packers and Panthers, and they weren’t in position to rest anyone because of the must-win nature associated with those games.

The 49-yard field goal by Phil Dawson in the first quarter against the Panthers is the longest in franchise postseason history. Dawson eclipsed the mark set by Wade Richey on Jan. 3, 1999, against the Packers. Dawson is 6 for 6 on field-goal attempts so far in the playoffs and 38 of 42 overall this season, his first with the 49ers. Dawson, 5-foot-11 and 200 pounds, is in his 15th NFL season. Dawson credited, in part, playing offensive tackle in high school for his success as a kicker in college and the pros. “Being severely outmanned physically, I had to learn attention to detail just to survive,” Dawson said. “That discipline paid off because I now play a position that requires that same attribute.”

For what it’s worth, linebacker Aldon Smith turned in perhaps his best game of the season when the 49ers played in Seattle on Sept. 15. In that game, Smith notched two of his 8½ sacks for the season and a season-high nine tackles.

The 49ers signed wide receivers David Reed (2010 draft pick by Baltimore Ravens) and DeMarco Sampson (2011 draft pick by Cardinals) and defensive tackle Christian Topou (undrafted in 2013, played for Chicago Bears) to reserve/future contracts. They aren’t effectively on the team’s roster until the 2013 season ends.

Free safety Eric Reid was selected to the Pro Football Writers Association’s All-Rookie team.

The 49ers announced that they will match up to $100,000 raised by 49ers and Seahawks fans in support of children’s hospitals in San Francisco and Seattle.