Bournemouth assistant manager Jason Tindall feels his team could have won by five or six goals but was happy to settle for a 2-1 win over Shrewsbury.
The Cherries are now unbeaten in six matches since Tindall and boss Eddie Howe returned to the south coast in a shock move from Burnley.
Charlie Daniels and Josh McQuoid gave Bournemouth a 2-0 lead inside six minutes before Shrewsbury recovered their poise and pulled a goal back through Matt Richards' penalty in the 14th minute.
Only a series of outstanding saves from Shrewsbury goalkeeper Chris Weale from Simon Francis, Lewis Grabban and Harry Arter kept the score down.
Tindall said: "On another day we would have won by five or six. Their goalkeeper made some fantastic saves. In the end we made heavy weather of it, but it's another win and we are gradually moving up the table into the top half. We are putting together some good results now, scoring goals and putting points on the board.
"It was important we made a fast start and in many ways we continued where we left off in beating Dagenham on Saturday. Marc Pugh tore their right flank to pieces and gave their defence a torrid time."
Daniels put Bournemouth ahead in the second minute with a free-kick which found its way through the defensive wall. McQuoid got the second in the sixth minute with a header seconds after Lee Barnard had struck a post.
But Miles Addison illegally nudged Shrewsbury striker Marvin Morgan off the ball and Richards fired home the penalty. Former England goalkeeper David James almost gifted Shrewsbury an equaliser by delaying a clearance and hitting it against Morgan only for the ball to roll agonisingly wide.
Shrewsbury manager Graham Turner said: "That is the fifth time in six matches we have conceded early goals. You cannot keep giving teams starts like that, particularly ones like Bournemouth who have quality players and will pass the ball about.
"Our defensive wall should have dealt with the first goal, which went between and underneath our defenders and there was an element of hand-ball about the second.
"But that cannot disguise the fact that we could have been out of the game by half-time. We were better in the second, a lot more so than against Hereford last Saturday in the FA Cup. The players worked hard."