Presumably because his batting was impotent as shown by his highest first-class score in more than 200 matches being 26, Lee appears never to have been considered seriously for Test cricket.
[1] 1973 saw Lee massively surpass his first season's promise and become the mainstay of Lancashire's bowling, actually taking more wickets in the County Championship than any other bowler.
[3] In 1974 Lee was consistently handicapped by injuries and illness: he played about half his county's matches but was at no point fully fit[4] Nevertheless, he returned for a full season and even greater success in 1975.
However, 1978 saw Lee play only one match due to a serious shoulder injury which led to a delayed operation after weeks of examination.
[5] Lee made a "gallant" return to fitness in 1979 but completely lost form, finishing with 22 wickets for 40 runs apiece that season.