LotR -- Book 2 - Chapter 03 - The Ring goes South

[Tuor of Gondolin]

""It is rash to be too sure, yet I think that we may hope now that the Ringwraiths were scattered, and have been obliged to return as best they could to their Master in Mordor, empty and shapeless. If that is so, it will be some time before they can begin the hunt again."
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Despite Elrond's worry about rashness, it's always seemed to me that the more
prudent course would have been to leave within a week or two. This would have
given enough time for scouting in the immediate vicinity, and left much less time
for the nazgul to regroup, inform Sauron of events, and perhaps lay new traps for
Frodo and friends.