diff --git a/arch/arm64/include/asm/kvm_host.h b/arch/arm64/include/asm/kvm_host.h
index 22cf484b561fc..4fabfd250de86 100644
--- a/arch/arm64/include/asm/kvm_host.h
+++ b/arch/arm64/include/asm/kvm_host.h
@@ -228,6 +228,8 @@ struct vcpu_reset_state {
 
 struct kvm_vcpu_arch {
 	struct kvm_cpu_context ctxt;
+	void *sve_state;
+	unsigned int sve_max_vl;
 
 	/* HYP configuration */
 	u64 hcr_el2;
@@ -323,6 +325,10 @@ struct kvm_vcpu_arch {
 	bool sysregs_loaded_on_cpu;
 };
 
+/* Pointer to the vcpu's SVE FFR for sve_{save,load}_state() */
+#define vcpu_sve_pffr(vcpu) ((void *)((char *)((vcpu)->arch.sve_state) + \
+				      sve_ffr_offset((vcpu)->arch.sve_max_vl)))
+
 /* vcpu_arch flags field values: */
 #define KVM_ARM64_DEBUG_DIRTY		(1 << 0)
 #define KVM_ARM64_FP_ENABLED		(1 << 1) /* guest FP regs loaded */
diff --git a/arch/arm64/kvm/fpsimd.c b/arch/arm64/kvm/fpsimd.c
index 7053bf4021316..6e3c9c8b2df94 100644
--- a/arch/arm64/kvm/fpsimd.c
+++ b/arch/arm64/kvm/fpsimd.c
@@ -87,10 +87,11 @@ void kvm_arch_vcpu_ctxsync_fp(struct kvm_vcpu *vcpu)
 
 	if (vcpu->arch.flags & KVM_ARM64_FP_ENABLED) {
 		fpsimd_bind_state_to_cpu(&vcpu->arch.ctxt.gp_regs.fp_regs,
-					 NULL, SVE_VL_MIN);
+					 vcpu->arch.sve_state,
+					 vcpu->arch.sve_max_vl);
 
 		clear_thread_flag(TIF_FOREIGN_FPSTATE);
-		clear_thread_flag(TIF_SVE);
+		update_thread_flag(TIF_SVE, vcpu_has_sve(vcpu));
 	}
 }
 
diff --git a/arch/arm64/kvm/hyp/switch.c b/arch/arm64/kvm/hyp/switch.c
index 9d46066276b9f..5444b9c6fb5ce 100644
--- a/arch/arm64/kvm/hyp/switch.c
+++ b/arch/arm64/kvm/hyp/switch.c
@@ -100,7 +100,10 @@ static void activate_traps_vhe(struct kvm_vcpu *vcpu)
 	val = read_sysreg(cpacr_el1);
 	val |= CPACR_EL1_TTA;
 	val &= ~CPACR_EL1_ZEN;
-	if (!update_fp_enabled(vcpu)) {
+	if (update_fp_enabled(vcpu)) {
+		if (vcpu_has_sve(vcpu))
+			val |= CPACR_EL1_ZEN;
+	} else {
 		val &= ~CPACR_EL1_FPEN;
 		__activate_traps_fpsimd32(vcpu);
 	}
@@ -317,16 +320,48 @@ static bool __hyp_text __populate_fault_info(struct kvm_vcpu *vcpu)
 	return true;
 }
 
-static bool __hyp_text __hyp_switch_fpsimd(struct kvm_vcpu *vcpu)
+/* Check for an FPSIMD/SVE trap and handle as appropriate */
+static bool __hyp_text __hyp_handle_fpsimd(struct kvm_vcpu *vcpu)
 {
-	struct user_fpsimd_state *host_fpsimd = vcpu->arch.host_fpsimd_state;
+	bool vhe, sve_guest, sve_host;
+	u8 hsr_ec;
 
-	if (has_vhe())
-		write_sysreg(read_sysreg(cpacr_el1) | CPACR_EL1_FPEN,
-			     cpacr_el1);
-	else
+	if (!system_supports_fpsimd())
+		return false;
+
+	if (system_supports_sve()) {
+		sve_guest = vcpu_has_sve(vcpu);
+		sve_host = vcpu->arch.flags & KVM_ARM64_HOST_SVE_IN_USE;
+		vhe = true;
+	} else {
+		sve_guest = false;
+		sve_host = false;
+		vhe = has_vhe();
+	}
+
+	hsr_ec = kvm_vcpu_trap_get_class(vcpu);
+	if (hsr_ec != ESR_ELx_EC_FP_ASIMD &&
+	    hsr_ec != ESR_ELx_EC_SVE)
+		return false;
+
+	/* Don't handle SVE traps for non-SVE vcpus here: */
+	if (!sve_guest)
+		if (hsr_ec != ESR_ELx_EC_FP_ASIMD)
+			return false;
+
+	/* Valid trap.  Switch the context: */
+
+	if (vhe) {
+		u64 reg = read_sysreg(cpacr_el1) | CPACR_EL1_FPEN;
+
+		if (sve_guest)
+			reg |= CPACR_EL1_ZEN;
+
+		write_sysreg(reg, cpacr_el1);
+	} else {
 		write_sysreg(read_sysreg(cptr_el2) & ~(u64)CPTR_EL2_TFP,
 			     cptr_el2);
+	}
 
 	isb();
 
@@ -335,24 +370,28 @@ static bool __hyp_text __hyp_switch_fpsimd(struct kvm_vcpu *vcpu)
 		 * In the SVE case, VHE is assumed: it is enforced by
 		 * Kconfig and kvm_arch_init().
 		 */
-		if (system_supports_sve() &&
-		    (vcpu->arch.flags & KVM_ARM64_HOST_SVE_IN_USE)) {
+		if (sve_host) {
 			struct thread_struct *thread = container_of(
-				host_fpsimd,
+				vcpu->arch.host_fpsimd_state,
 				struct thread_struct, uw.fpsimd_state);
 
-			sve_save_state(sve_pffr(thread), &host_fpsimd->fpsr);
+			sve_save_state(sve_pffr(thread),
+				       &vcpu->arch.host_fpsimd_state->fpsr);
 		} else {
-			__fpsimd_save_state(host_fpsimd);
+			__fpsimd_save_state(vcpu->arch.host_fpsimd_state);
 		}
 
 		vcpu->arch.flags &= ~KVM_ARM64_FP_HOST;
 	}
 
-	__fpsimd_restore_state(&vcpu->arch.ctxt.gp_regs.fp_regs);
-
-	if (vcpu_has_sve(vcpu))
+	if (sve_guest) {
+		sve_load_state(vcpu_sve_pffr(vcpu),
+			       &vcpu->arch.ctxt.gp_regs.fp_regs.fpsr,
+			       sve_vq_from_vl(vcpu->arch.sve_max_vl) - 1);
 		write_sysreg_s(vcpu->arch.ctxt.sys_regs[ZCR_EL1], SYS_ZCR_EL12);
+	} else {
+		__fpsimd_restore_state(&vcpu->arch.ctxt.gp_regs.fp_regs);
+	}
 
 	/* Skip restoring fpexc32 for AArch64 guests */
 	if (!(read_sysreg(hcr_el2) & HCR_RW))
@@ -388,10 +427,10 @@ static bool __hyp_text fixup_guest_exit(struct kvm_vcpu *vcpu, u64 *exit_code)
 	 * and restore the guest context lazily.
 	 * If FP/SIMD is not implemented, handle the trap and inject an
 	 * undefined instruction exception to the guest.
+	 * Similarly for trapped SVE accesses.
 	 */
-	if (system_supports_fpsimd() &&
-	    kvm_vcpu_trap_get_class(vcpu) == ESR_ELx_EC_FP_ASIMD)
-		return __hyp_switch_fpsimd(vcpu);
+	if (__hyp_handle_fpsimd(vcpu))
+		return true;
 
 	if (!__populate_fault_info(vcpu))
 		return true;