"You always want to help try and make a statement for the organization and we've got great direction from the top," Murray told NHL.com. "Steve (Yzerman) has given us really good direction into the type of team he wants to put together and the attributes he wants us to look for in the player.
"We had a whole season to try and find those types of players and we have a group of them we'd like to get. We just hope everybody else in the League cooperates and leaves them there for us."
The Lighting own the No. 27 pick in the opening round of the 2011 Entry Draft at Xcel Energy Center in St. Paul, Minn., on June 24.
Murray was asked how well he felt last year's first-round draft choice, Brett Connolly, had improved and if he could be in the Lightning lineup next season.
|Brett Connolly, Tampa Bay Lightning|
"Steve's philosophy throughout the organization is to never rush anyone, but not to hold anyone back," Murray said. "Brett's made a big commitment this year. He's from Prince George, B.C., but he's in Toronto and has been here for a couple of weeks training with a personal trainer.
"He'll stay here for the summer; he's made a significant commitment to put himself in every position to try and make the team and to try and do as well as he can, so with added strength and confidence, we're anxious to see what he looks like in the fall training camp, but there will be no urgency to push Brett into a roster spot."
Murray confirmed that Connolly's hip issues, which limited him for much of the 2009-10 campaign, are ancient history.
"That really wasn't an issue all through last season," Murray said.
In his third season with the Prince George Cougars of the Western Hockey League, Connolly produced 46 goals and 73 points in 59 games.
Follow Mike Morreale on Twitter at: @mike_morreale