Question Stock processor heatsink fan be compatibility

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Jul 3, 2015
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Buying a OEM version of i5 2400 so..
Will a i3 2120 (TDP 65W) stock processor heatsink fan be compatible (in terms of cooling) with i5 2400 (TDP 95W) processor with same LGA 1155 socket??
If not then, probably the reason also??
Thank you.