Hello Carsten
By default, LLDP doesn’t share the IP address of the device with LLDP neighbors. As can be seen in this lesson, the default information is specific:
However, LLDP uses various attributes that can be shared, which contain specific values and descriptions. These are referred to as TLVs or Type Length Values. In order for a device to share IP addresses or other parameters, you must enable this capability using the lldp med-tlv-select command, and specify which TLVs you want to share. What can be shared is platform and IOS specific, so you will find that various platofrms have different options here.
You can see what is available for the Catalyst 3560 for example, in the following Cisco documentation:
I hope this has been helpful!
Laz