Stuart McCall admitted his Motherwell team were fortunate to leave Inverness with three points after Tom Hateley's late free-kick secured a 3-2 win.
Bottom-side Inverness were twice in front but could not prevent second-placed Well's smash-and-grab.
McCall told BBC Scotland: "It's a massive three points. It's the first time I can say this season we've got something we haven't deserved, really.
"If we had come away with a point, we'd have been pretty pleased."
David Davis curled a lovely shot beyond Darren Randolph to give Terry Butcher's side a fourth-minute lead.
But, despite their first-half dominance, Inverness went into the dressing-room level at half-time, Shaun Hutchinson's 39th-minute header restoring parity.
McCall says Inverness deserved to go 2-1 up when Andrew Shinnie fired their second but was thrilled to see Keith Lasley equalise immediately with a long-range strike.
"I feel for Inverness because they put everything into it and merited more than a defeat," said McCall.
"We weren't at our best, but there are loads of ways to win football games.
"You need luck, which we got at the end, you need to fight and battle. Sometimes it can be silky soccer, sometimes it can be just determination.
"A point for us today would have been just about right."
McCall was sorry to see Steven Hammell badly injured in a challenge by Josh Meekins that attracted a booking.
"If you look at it again, it certainly could have been a straight red," he added.
"The young kid in his enthusiasm has taken a bigger touch than you think; he is fully committed.
"There comes a line between commitment and dangerous play.
"Watching it back, Hammell is lucky. He can't put weight on his ankle, he has a big gash down his shin and he has ligament damage to his ankle."
The Steelmen are three points ahead of Celtic in third but have played a game more, while they trail leaders Rangers by nine points.