Though the new device support sometimes is brought with mdf device packages, but for inventory , SWIM and config management device package is a must.
As Cisco released 2960 plus devices in 2013, when updates for LMS 3.x was almost stopped, we started supporting these devices from LMS 4.2 onwards.
Though it doesn't shows anything on the supported device page list, which has been filed as a defect for that document :
CSCul91548 LMS 4.2 - C2960 Plus switches are missing on the supported devices page
You'll have to upgrade to LMS 4.2 onwards to get those switches managed.
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Vinod
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Vinod
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