He doesn't have the intention of meeting me if he has to sacrifice his time.
ご質問ありがとうございます。
"He doesn't have the intention"＝「彼には～をする気がない」
"of meeting me"＝「私に会うこと」
"if he has to sacrifice his time."＝「自分の時間を割かなければいけないのなら。」
☆「～をする気がない」は"does not have the intention to ~"、又は"does not intend to ~"で表せます。
例：
"I don't have the intention of staying in Japan."＝「日本に留まる気は私に無い。」
"I don't intend to stay in Japan."＝「私は日本に留まるつもりはない。」
ご参考に。
アメリカ合衆国 
