The Lisbon club defeated Boavista 1-0 on Tuesday to secure their 19th league title and first since 2001-02.
Sporting splashed out €10million for Amorim when he was appointed in March last year, becoming the third most expensive coach ever, behind Andre Villas-Boas and Brendan Rodgers.
"I felt a weight and now it's off," Amorim told Sport TV after Sporting's win.
"People really wanted to celebrate this championship for the value and the risk the club took, but I wanted to win for the players, for the club and for other reasons that I won't disclose."
Amorim hailed his group of players who have gone 32 league matches unbeaten.
"I have a group of fantastic players, the merit is for the players," Amorim said.
"They fought, they grew a lot, they are very humble. It was another two hours of suffering."