Question Cpu cooler height strictness

[theycallmedale]

Stupid question, but how strict are the maximum cooler height dimensions on a case? The case im looking at has a maximum cooler height of 155mm, but the cooler i want has a height of 157.4mm. Is there any breathing room? Or am I going to have to look at new parts?

 

[rgd1101]

the spec is there for a reason.