After TO, you loose the backup system, but NNC for that does NOT mention any procedure or concern! no mention to land at nearest airport, but you know you have a MEL condition and that system was required.
You don't mention for which type, but given your username I assume you mean Boeing (744).
For Boeing 737 (hence I assume 744 as well, due to commonality), there is a section in the QRH called "checklist instruction", which indirectly covers the question you asked. Under "non-normal checklists", the following is written:
There are some situations where the flight crew must land at the nearest suitable airport. These situations include, but are not limited to, conditions where:
the non–normal checklist includes the item “Plan to land at the nearest suitable airport.”
• fire or smoke continues
• only one AC power source remains (engine or APU generator)
• only one hydraulic system remains (the standby system is considered a
hydraulic system)
• any other situation determined by the flight crew to have a significant
adverse effect on safety if the flight is continued.
So in short, yes, this is covered in the NNC.