SQL & PL/SQL :: Add Composite Primary Key To Table That Has Self Referencing Foreign Key

I have an employee table which has a primary key and a self referencing foreign key, as shown here

create table employee (
id not null,
name not null,
department not null,
supervisor_id not null
,constraint constraint_1 primary key (id)
,constraint constraint_2 foreign key (supervisor_id) references employee (id));

Now if i make the primary key composite, as shown below -

create table employee (
id not null,
name not null,
department not null,
supervisor_id not null
,constraint constraint_1 primary key (id, name)
,constraint constraint_2 foreign key (supervisor_id) references employee (id));

Oracle is throwing the following error -

ORA-02270: no matching unique or primary key for this column-list

How can this error be fixed without changing the composite primary key?