The Senators had a couple of great chances to regain the lead in the dying seconds, but Khudobin made some solid stops to keep the score tied.
"For the first two periods, we had our share of problems," Bruins coach Claude Julien said. "In the morning I had asked the players to work hard and to find ways to work through things. I think we did that and I thought our third period was good and we want to build off that third period."
With an assist on Daugavins' goal, Sergei Gonchar extended his point streak to nine games. He also set a franchise record for defensemen with assists in nine straight games.
Gonchar was injured late in the third period and MacLean said he would be evaluated overnight, but added he wasn't overly concerned.
"Hopefully, it's nothing too serious," Senators defenseman Chris Phillips said. "You know to pile it on top of other injuries that we already have, but we'll see what we're dealt with and move on."
NOTES: After missing the last eight games with a concussion, defenseman Mike Lundin returned to the lineup for Ottawa to replace the injured Marc Methot. ... The game marked the first in a five-game homestand for the Senators. Ottawa hosts Tampa Bay on Saturday.