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Related to sit tight: put aside, in line with, take it for granted
to wait; to wait patiently. (This does not necessarily refer to sitting.) Just relax and sit tight. I'll be right with you. We were waiting in line for the gates to open when someone came out and told us to sit tight because it wouldn't be much longer before we could go in.
Be patient, take no action, as in If you just sit tight I'm sure your passport will be returned to you. [Colloquial; first half of 1700s]
COMMON If you sit tight, you stay in the same place or situation and wait to see how it develops before taking any action. The message is, those who want to sell their houses should sit tight for a couple of years if they can. I think the Bundesbank is going to sit tight for a couple of months, at least until it sees better signs on money supply growth.
To be patient and await the next move.