Baseball’s amateur draft is Monday, and there are new rules under the collective bargaining agreement that could affect teams like the Red Sox more than others.

The Red Sox were always able to overpay for players, and thus could sign high-risk draftees such as Blake Swihart that also had the option to play big-time college football.

Now each team has a spending cap (the number varies according to draft position) and will incur a hefty penalty for exceeding it. For the Sox, the limit is $6,884,800. To put that in perspective, they spent $6.65 million on their first four picks last season.

Now with teams on more equal footing, how well they scout will come into play even more. They can’t just wait for a player to fall off the board because of signability issues and then pay them off.

Red Sox general manager Ben Cherington and scouting director Amiel Sawdaye said they will not draft by need but by talent.

“Get the best players, “ Cherington said of his goal. “Make more out of the picks than our competition, that’s the priority in every draft.

“You don’t get every player you want and don’t hit on every player, but it’s important to have the best board available to make those decisions productive.’’

Sawdaye doesn’t believe the new rules will affect how the Sox make their selections.

“There’s always been guys who have outpriced themselves,’’ he said. “There are going to be players at our pick that we’re going to be excited about. Certainly there are ramifications with the new CBA. Not any more challenging than in years past.’’

Cherington said the Sox, who this year have the 24th, 31st, and 37th overall selections, have done well selecting players in the 15-100 range.

“Often the players taken were signed to traditional signing bonuses, with a couple of exceptions,’’ said Cherington. “We’ve done some things differently later in the draft. There will be differences this year later in the draft.’’