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If you feel the necessity of trying it out, test it out. If it yields desired results, why not implement it. Also the usage of a magnifying glass tool or both (as in Twitter) might be a better idea.
Users generally understand the functionality of a search box, so "type and press enter" isn't necessary here. If you really feel it needs explaining because users aren't pressing "enter", then consider adding an "enter" button. However, It is useful to add some indication in the search field as to what the user can search for, as facebook does:
Search boxes are well understood pattern, and often users will look for something to click. Don't give them an explanation instead, this will just make them slightly more irritated by your interface. Also, some users will type, then look for the button, at which point your message is gone. https://www.sensible.com/dmmt.html ...
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