Couldn't get simcom sim7022 into power-saving

Hi,
I have a IoT-device, using an ATmega328 as MCU and an simcom sim7022 for communication. Unfortunately I'm not able to activate the better power management modes.
SIM7022 Series_Low Power Mode_Application Note_V1.01 says, I just have to use

AT+QCPMUCFG=1,4

Actually it seems, only power management mode IDLE is reached but not one of the sleep-modes or hibernate. The power profiler shows up, that still about 3.7 mA are used. in sleep-mode it should be < 1 mA.
This is the AT-Sequence I've tried:

AT
OK
AT+CEREG=5
OK

Network Available

+CEREG: 5,"A7A3","004E9B66",9,,,"00011010","11000001"
AT
OK
AT+QCPSMR=1
OK
AT
OK
AT+CEREG?
+CEREG: 5,5,"A7A3","004E9B66",9,,,"00011010","11000001"

OK
AT
OK
AT+CGATT?
+CGATT: 1

OK
AT
OK
AT+CGACT?
+CGACT: 0,1

OK
AT
OK
AT+CGDCONT?
+CGDCONT: 0,"IP","iotsim.melita.io","10.0.25.147"

OK
AT
OK
AT+QCSIMSLEEP?
+QCSIMSLEEP: 1

OK
AT
OK
AT+QCPMUCFG?
+QCPMUCFG: 1,4

OK
AT
OK
AT+QCPMUCFG=1,4
OK
AT
OK
AT+CPSMS=1,,,"00101000","00001000"
OK

This is the output of power profiler:

Any ideas how I could activate sleep-mode?