GRE tunnel from routed container

I wonder if this feasible to create GRE tunnel from container?
I’ve done, but it doesn’t work.
From hypervisor GRE tunnel is working (no matter what type of container, standard or privileged lxc config set gre-container security.privileged true)

ip tunnel add gre1 mode gre local remote ttl 255
ip addr add dev gre1
ip link set gre1 up

tcpdump on host machine doesn’t register outgoing packets.
Simple ping connectivity exists.

Looks like this is hypervisor firewall issue.
I’ll investigate further.