And, the mere fact that your page contains a link to that page is not going to cause the indexing engine to immediately call for that page to be checked for any changes.
For an SE, the priority for re-crawling a previously indexed page is in direct proportion to the product of two factors:
- The frequency with which the page has been observed to have historically changed; and,
- The frequency with which it is likely to be requested by a searcher.
The first factor is gleaned from the indexing engine's record of the results of previous header checks and file requests. The second factor can be measured by the SE's SERP click-through data; and, in the case of Google, by the PageRank of the file in question.