This is Link's third callup this season. In the previous two, which totaled four days, he allowed two earned runs in three appearances.
Haeger was reinstated from the disabled list on Wednesday after being sidelined with plantar fasciitis. During a rehab start he suffered what he called turf toe while making a pick-off throw. Haeger pitched only once since being activated, allowing two tainted runs in two innings.
"I just don't think that I'm healthy yet," Haeger said. "I don't want to use it as an excuse."
"We'll just see if we can get this better," manager Joe Torre said.
Shortly after news of the DL trip was announced, Haeger threw a bullpen session during batting practice with pitching coach Rick Honeycutt looking on.
Left-handed reliever George Sherrill is expected to be activated from the disabled list when he's eligible on Tuesday. On Sunday, he completed a four-game Minor League rehab assignment for a stiff back.
Sherrill said he was able to make mechanical corrections with Minor League pitching coordinator Rafael Chavez, whom he worked with in the Mariners organization.
Link had been asleep for more than two hours Sunday night when he was woken up and told of the promotion, but it will be a short stay. Torre told Link he would likely be sent down when Sherrill returns.
"We probably wouldn't have [called Link up], but yesterday we had to spend a lot, which was certainly worthwhile," Torre said of Sunday's 5-4, extra-inning win over the Braves and the effect on the bullpen.
Carlos Monasterios, who has yet to go beyond five innings, got the start Monday night against the Cardinals.
Vicente Padilla is scheduled to make his second rehab start for Class A Inland Empire on Tuesday.