1
general::
Phrase(s): *pressed for time [and] *pushed for time
Fig. needing time; in a hurry. (*Typically: be ~; become ~; get ~; seem ~.) • If I weren’t so pressed for time, I could help you. • I can’t talk to you. I’m too pushed for time. • Can’t talk to you now. I’m pressed for time.
McGrawhill's American Idioms And Phrasal Verbs
2
general::
In a hurry, as in How long will it take? I'm really pressed for time. This idiom uses press in the sense of "subject to pressure," a usage dating from the late 1600s.
American Heritage Idioms