From Longman Dictionary of Contemporary Englishpress on (also press ahead phrasal verb)CONTINUE/NOT STOP to continue doing something, especially working, in a determined way We’ll talk about your suggestion later – now let’s just press on. with Shall we press ahead with the minutes of the last meeting? → press→ See Verb table
Examples from the Corpus
press on• I was finding the book hard to understand, but I pressed on.• It started to rain and a strong wind blew, but he pressed on regardless.• We're nearly there, so let's press on while it's still daylight.• Despite opposition , the government is pressing on with its welfare reforms.press with• Richie attempted to press on with An Early Bath for Thompson, but he soon nodded off.• He pressed on with even more caution.• Undeterred, Van de Mark pressed on with his idea.• Jonathon pressed on with his new model.• They pressed on with renewed hope.• And indeed it was very difficult to press on with the rehearsal.• Some wanted to press on with the war and argued for Mentheus's son, Altheus. 