MySql:actualice la tabla usando una declaración seleccionada de la misma tabla

update table as t1
inner join (
select field_id_46,field_id_47 from table where entry_id = 36) as t2
set t1.field_id_60 = t2.field_id_46,
    t1.field_id_61 = t2.field_id_47
where t1.entry_id = 45

o, simplemente

update table as t1,
(
select field_id_46,field_id_47 from table where entry_id = 36) as t2
set t1.field_id_60 = t2.field_id_46,
    t1.field_id_61 = t2.field_id_47
where t1.entry_id = 45