Alonso went 2-for-4 with a solo home run in Friday's 6-1 win over the Royals.
Alonso went 1-for-3 with a walk and an RBI in Tuesday's Grapefruit League game against the Cardinals.
Mets president of baseball operations David Stearns indicated in an interview with Foul Territory on Wednesday that he does not expect to sign Alonso to a contract extension prior to the first baseman reaching free agency next offseason.
Alonso has hired BorasCorp agency to represent him, Jon Heyman of the New York Post reports.
Alonso went 5-for-8 with two doubles, a home run, four total runs and two RBI in Wednesday's doubleheader split against the Marlins.
Alonso went 2-for-5 with a double and three RBI in a 7-1 victory versus Arizona on Wednesday.
Alonso went 2-for-5 with a two-run home run in Tuesday's 7-4 win over the Diamondbacks.
Alonso went 1-for-4 with a home run and two RBI in Tuesday's 11-5 win over the Nationals.
Alonso went 3-for-4 with a two-run home run, a solo home run and an additional RBI in Sunday's 6-3 win over the Mariners.
Alonso (head) will start at first base and bat cleanup Sunday versus the Angels.